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Finding the Fourth Proportional to 52,404.60, 78,606.90 and 31,409.40

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Solution

The fourth proportional to 52,404.60, 78,606.90 and 31,409.40 is: 47,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,404.60 : 78,606.90 = 31,409.40 : x
  2. Step 2: Convert to fraction form
    52,404.60/78,606.90 = 31,409.40/x
  3. Step 3: Cross multiply
    52,404.60x = 78,606.90 × 31,409.40
  4. Step 4: Simplify right side
    52,404.60x = 2,468,995,564.86
  5. Step 5: Solve for x
    x = 2,468,995,564.86/52,404.60
  6. Step 6: Final answer
    x = 47,114.10

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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.