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Finding the Fourth Proportional to 138,262.40, 190,807.89 and 77,833.16

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Solution

The fourth proportional to 138,262.40, 190,807.89 and 77,833.16 is: 107,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,262.40 : 190,807.89 = 77,833.16 : x
  2. Step 2: Convert to fraction form
    138,262.40/190,807.89 = 77,833.16/x
  3. Step 3: Cross multiply
    138,262.40x = 190,807.89 × 77,833.16
  4. Step 4: Simplify right side
    138,262.40x = 14,851,181,031.63
  5. Step 5: Solve for x
    x = 14,851,181,031.63/138,262.40
  6. Step 6: Final answer
    x = 107,413.01

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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.