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Finding the Fourth Proportional to 71,586.90, 98,785.71 and 39,753.90

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Solution

The fourth proportional to 71,586.90, 98,785.71 and 39,753.90 is: 54,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,586.90 : 98,785.71 = 39,753.90 : x
  2. Step 2: Convert to fraction form
    71,586.90/98,785.71 = 39,753.90/x
  3. Step 3: Cross multiply
    71,586.90x = 98,785.71 × 39,753.90
  4. Step 4: Simplify right side
    71,586.90x = 3,927,117,236.77
  5. Step 5: Solve for x
    x = 3,927,117,236.77/71,586.90
  6. Step 6: Final answer
    x = 54,858.04

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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.