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Finding the Fourth Proportional to 145,411,547.04, 200,666,978.64 and 82,687,650.48

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Solution

The fourth proportional to 145,411,547.04, 200,666,978.64 and 82,687,650.48 is: 114,108,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,411,547.04 : 200,666,978.64 = 82,687,650.48 : x
  2. Step 2: Convert to fraction form
    145,411,547.04/200,666,978.64 = 82,687,650.48/x
  3. Step 3: Cross multiply
    145,411,547.04x = 200,666,978.64 × 82,687,650.48
  4. Step 4: Simplify right side
    145,411,547.04x = 16,592,680,992,661,946
  5. Step 5: Solve for x
    x = 16,592,680,992,661,946/145,411,547.04
  6. Step 6: Final answer
    x = 114,108,413.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.