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Finding the Fourth Proportional to 78,602,658.30, 117,792,013.05 and 57,971,375.10

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Solution

The fourth proportional to 78,602,658.30, 117,792,013.05 and 57,971,375.10 is: 86,874,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,602,658.30 : 117,792,013.05 = 57,971,375.10 : x
  2. Step 2: Convert to fraction form
    78,602,658.30/117,792,013.05 = 57,971,375.10/x
  3. Step 3: Cross multiply
    78,602,658.30x = 117,792,013.05 × 57,971,375.10
  4. Step 4: Simplify right side
    78,602,658.30x = 6,828,564,972,305,645
  5. Step 5: Solve for x
    x = 6,828,564,972,305,645/78,602,658.30
  6. Step 6: Final answer
    x = 86,874,478.80

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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.