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Finding the Fourth Proportional to 71,536.28, 98,724.54 and 39,705.71

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Solution

The fourth proportional to 71,536.28, 98,724.54 and 39,705.71 is: 54,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,536.28 : 98,724.54 = 39,705.71 : x
  2. Step 2: Convert to fraction form
    71,536.28/98,724.54 = 39,705.71/x
  3. Step 3: Cross multiply
    71,536.28x = 98,724.54 × 39,705.71
  4. Step 4: Simplify right side
    71,536.28x = 3,919,927,461.50
  5. Step 5: Solve for x
    x = 3,919,927,461.50/71,536.28
  6. Step 6: Final answer
    x = 54,796.36

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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.