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Finding the Fourth Proportional to 52,601.70, 78,864.15 and 21,420.90

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Solution

The fourth proportional to 52,601.70, 78,864.15 and 21,420.90 is: 32,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,601.70 : 78,864.15 = 21,420.90 : x
  2. Step 2: Convert to fraction form
    52,601.70/78,864.15 = 21,420.90/x
  3. Step 3: Cross multiply
    52,601.70x = 78,864.15 × 21,420.90
  4. Step 4: Simplify right side
    52,601.70x = 1,689,341,070.74
  5. Step 5: Solve for x
    x = 1,689,341,070.74/52,601.70
  6. Step 6: Final answer
    x = 32,115.71

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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.