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Finding the Fourth Proportional to 62,409, 93,613.50 and 20,856

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Solution

The fourth proportional to 62,409, 93,613.50 and 20,856 is: 31,284

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,409 : 93,613.50 = 20,856 : x
  2. Step 2: Convert to fraction form
    62,409/93,613.50 = 20,856/x
  3. Step 3: Cross multiply
    62,409x = 93,613.50 × 20,856
  4. Step 4: Simplify right side
    62,409x = 1,952,403,156
  5. Step 5: Solve for x
    x = 1,952,403,156/62,409
  6. Step 6: Final answer
    x = 31,284

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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.