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Finding the Fourth Proportional to 98,656,468.80, 147,984,703.20 and 47,543,654.40

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Solution

The fourth proportional to 98,656,468.80, 147,984,703.20 and 47,543,654.40 is: 71,315,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,656,468.80 : 147,984,703.20 = 47,543,654.40 : x
  2. Step 2: Convert to fraction form
    98,656,468.80/147,984,703.20 = 47,543,654.40/x
  3. Step 3: Cross multiply
    98,656,468.80x = 147,984,703.20 × 47,543,654.40
  4. Step 4: Simplify right side
    98,656,468.80x = 7,035,733,585,427,373
  5. Step 5: Solve for x
    x = 7,035,733,585,427,373/98,656,468.80
  6. Step 6: Final answer
    x = 71,315,481.60

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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.