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Finding the Fourth Proportional to 71,638.88, 98,862.64 and 39,807.20

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Solution

The fourth proportional to 71,638.88, 98,862.64 and 39,807.20 is: 54,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,638.88 : 98,862.64 = 39,807.20 : x
  2. Step 2: Convert to fraction form
    71,638.88/98,862.64 = 39,807.20/x
  3. Step 3: Cross multiply
    71,638.88x = 98,862.64 × 39,807.20
  4. Step 4: Simplify right side
    71,638.88x = 3,935,444,883.01
  5. Step 5: Solve for x
    x = 3,935,444,883.01/71,638.88
  6. Step 6: Final answer
    x = 54,934.48

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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.