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Finding the Fourth Proportional to 65,143.80, 97,748.10 and 25,702.20

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Solution

The fourth proportional to 65,143.80, 97,748.10 and 25,702.20 is: 38,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143.80 : 97,748.10 = 25,702.20 : x
  2. Step 2: Convert to fraction form
    65,143.80/97,748.10 = 25,702.20/x
  3. Step 3: Cross multiply
    65,143.80x = 97,748.10 × 25,702.20
  4. Step 4: Simplify right side
    65,143.80x = 2,512,341,215.82
  5. Step 5: Solve for x
    x = 2,512,341,215.82/65,143.80
  6. Step 6: Final answer
    x = 38,566.08

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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.