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Finding the Fourth Proportional to 78,732,406.80, 118,098,610.20 and 77,456,948.40

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Solution

The fourth proportional to 78,732,406.80, 118,098,610.20 and 77,456,948.40 is: 116,185,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732,406.80 : 118,098,610.20 = 77,456,948.40 : x
  2. Step 2: Convert to fraction form
    78,732,406.80/118,098,610.20 = 77,456,948.40/x
  3. Step 3: Cross multiply
    78,732,406.80x = 118,098,610.20 × 77,456,948.40
  4. Step 4: Simplify right side
    78,732,406.80x = 9,147,557,956,373,114
  5. Step 5: Solve for x
    x = 9,147,557,956,373,114/78,732,406.80
  6. Step 6: Final answer
    x = 116,185,422.60

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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.