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Finding the Fourth Proportional to 65,127.26, 97,689.80 and 20,753.40

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Solution

The fourth proportional to 65,127.26, 97,689.80 and 20,753.40 is: 31,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,127.26 : 97,689.80 = 20,753.40 : x
  2. Step 2: Convert to fraction form
    65,127.26/97,689.80 = 20,753.40/x
  3. Step 3: Cross multiply
    65,127.26x = 97,689.80 × 20,753.40
  4. Step 4: Simplify right side
    65,127.26x = 2,027,395,495.32
  5. Step 5: Solve for x
    x = 2,027,395,495.32/65,127.26
  6. Step 6: Final answer
    x = 31,129.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.