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Finding the Fourth Proportional to 78,755,438.80, 118,097,728.80 and 30,217,160.80

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Solution

The fourth proportional to 78,755,438.80, 118,097,728.80 and 30,217,160.80 is: 45,312,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,755,438.80 : 118,097,728.80 = 30,217,160.80 : x
  2. Step 2: Convert to fraction form
    78,755,438.80/118,097,728.80 = 30,217,160.80/x
  3. Step 3: Cross multiply
    78,755,438.80x = 118,097,728.80 × 30,217,160.80
  4. Step 4: Simplify right side
    78,755,438.80x = 3,568,578,061,264,391
  5. Step 5: Solve for x
    x = 3,568,578,061,264,391/78,755,438.80
  6. Step 6: Final answer
    x = 45,312,147.52

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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.