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Finding the Fourth Proportional to 96,695,312.80, 145,000,978.80 and 31,974,109.60

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Solution

The fourth proportional to 96,695,312.80, 145,000,978.80 and 31,974,109.60 is: 47,947,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,695,312.80 : 145,000,978.80 = 31,974,109.60 : x
  2. Step 2: Convert to fraction form
    96,695,312.80/145,000,978.80 = 31,974,109.60/x
  3. Step 3: Cross multiply
    96,695,312.80x = 145,000,978.80 × 31,974,109.60
  4. Step 4: Simplify right side
    96,695,312.80x = 4,636,277,188,258,477
  5. Step 5: Solve for x
    x = 4,636,277,188,258,477/96,695,312.80
  6. Step 6: Final answer
    x = 47,947,279.49

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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.