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Finding the Fourth Proportional to 57,780, 86,530.68 and 28,124.28

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Solution

The fourth proportional to 57,780, 86,530.68 and 28,124.28 is: 42,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780 : 86,530.68 = 28,124.28 : x
  2. Step 2: Convert to fraction form
    57,780/86,530.68 = 28,124.28/x
  3. Step 3: Cross multiply
    57,780x = 86,530.68 × 28,124.28
  4. Step 4: Simplify right side
    57,780x = 2,433,613,072.91
  5. Step 5: Solve for x
    x = 2,433,613,072.91/57,780
  6. Step 6: Final answer
    x = 42,118.61

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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.