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Finding the Fourth Proportional to 65,442.72, 98,154.36 and 23,880

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Solution

The fourth proportional to 65,442.72, 98,154.36 and 23,880 is: 35,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,442.72 : 98,154.36 = 23,880 : x
  2. Step 2: Convert to fraction form
    65,442.72/98,154.36 = 23,880/x
  3. Step 3: Cross multiply
    65,442.72x = 98,154.36 × 23,880
  4. Step 4: Simplify right side
    65,442.72x = 2,343,926,116.80
  5. Step 5: Solve for x
    x = 2,343,926,116.80/65,442.72
  6. Step 6: Final answer
    x = 35,816.45

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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.