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Finding the Fourth Proportional to 52,332.86, 78,499.31 and 12,890.74

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Solution

The fourth proportional to 52,332.86, 78,499.31 and 12,890.74 is: 19,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,332.86 : 78,499.31 = 12,890.74 : x
  2. Step 2: Convert to fraction form
    52,332.86/78,499.31 = 12,890.74/x
  3. Step 3: Cross multiply
    52,332.86x = 78,499.31 × 12,890.74
  4. Step 4: Simplify right side
    52,332.86x = 1,011,914,195.39
  5. Step 5: Solve for x
    x = 1,011,914,195.39/52,332.86
  6. Step 6: Final answer
    x = 19,336.11

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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.