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Finding the Fourth Proportional to 71,572.78, 98,774.54 and 39,743.73

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Solution

The fourth proportional to 71,572.78, 98,774.54 and 39,743.73 is: 54,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,572.78 : 98,774.54 = 39,743.73 : x
  2. Step 2: Convert to fraction form
    71,572.78/98,774.54 = 39,743.73/x
  3. Step 3: Cross multiply
    71,572.78x = 98,774.54 × 39,743.73
  4. Step 4: Simplify right side
    71,572.78x = 3,925,668,598.95
  5. Step 5: Solve for x
    x = 3,925,668,598.95/71,572.78
  6. Step 6: Final answer
    x = 54,848.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.