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Finding the Fourth Proportional to 65,116.80, 97,675.20 and 25,660.80

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Solution

The fourth proportional to 65,116.80, 97,675.20 and 25,660.80 is: 38,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116.80 : 97,675.20 = 25,660.80 : x
  2. Step 2: Convert to fraction form
    65,116.80/97,675.20 = 25,660.80/x
  3. Step 3: Cross multiply
    65,116.80x = 97,675.20 × 25,660.80
  4. Step 4: Simplify right side
    65,116.80x = 2,506,423,772.16
  5. Step 5: Solve for x
    x = 2,506,423,772.16/65,116.80
  6. Step 6: Final answer
    x = 38,491.20

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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.