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Finding the Fourth Proportional to 31,796,605.60, 47,697,500.40 and 13,600,938.40

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Solution

The fourth proportional to 31,796,605.60, 47,697,500.40 and 13,600,938.40 is: 20,402,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796,605.60 : 47,697,500.40 = 13,600,938.40 : x
  2. Step 2: Convert to fraction form
    31,796,605.60/47,697,500.40 = 13,600,938.40/x
  3. Step 3: Cross multiply
    31,796,605.60x = 47,697,500.40 × 13,600,938.40
  4. Step 4: Simplify right side
    31,796,605.60x = 648,730,764,774,375.38
  5. Step 5: Solve for x
    x = 648,730,764,774,375.38/31,796,605.60
  6. Step 6: Final answer
    x = 20,402,516.32

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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.