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Finding the Fourth Proportional to 82,648,468.80, 123,972,703.20 and 25,140,647.70

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Solution

The fourth proportional to 82,648,468.80, 123,972,703.20 and 25,140,647.70 is: 37,710,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,648,468.80 : 123,972,703.20 = 25,140,647.70 : x
  2. Step 2: Convert to fraction form
    82,648,468.80/123,972,703.20 = 25,140,647.70/x
  3. Step 3: Cross multiply
    82,648,468.80x = 123,972,703.20 × 25,140,647.70
  4. Step 4: Simplify right side
    82,648,468.80x = 3,116,754,055,567,862.50
  5. Step 5: Solve for x
    x = 3,116,754,055,567,862.50/82,648,468.80
  6. Step 6: Final answer
    x = 37,710,971.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.