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Finding the Fourth Proportional to 71,512.56, 98,690.70 and 39,681.72

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Solution

The fourth proportional to 71,512.56, 98,690.70 and 39,681.72 is: 54,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,512.56 : 98,690.70 = 39,681.72 : x
  2. Step 2: Convert to fraction form
    71,512.56/98,690.70 = 39,681.72/x
  3. Step 3: Cross multiply
    71,512.56x = 98,690.70 × 39,681.72
  4. Step 4: Simplify right side
    71,512.56x = 3,916,216,724.00
  5. Step 5: Solve for x
    x = 3,916,216,724.00/71,512.56
  6. Step 6: Final answer
    x = 54,762.64

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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.