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Finding the Fourth Proportional to 71,703.32, 98,946.50 and 39,871.53

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Solution

The fourth proportional to 71,703.32, 98,946.50 and 39,871.53 is: 55,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,703.32 : 98,946.50 = 39,871.53 : x
  2. Step 2: Convert to fraction form
    71,703.32/98,946.50 = 39,871.53/x
  3. Step 3: Cross multiply
    71,703.32x = 98,946.50 × 39,871.53
  4. Step 4: Simplify right side
    71,703.32x = 3,945,148,143.79
  5. Step 5: Solve for x
    x = 3,945,148,143.79/71,703.32
  6. Step 6: Final answer
    x = 55,020.44

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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.