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Finding the Fourth Proportional to 65,235.47, 97,859.18 and 20,257.08

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Solution

The fourth proportional to 65,235.47, 97,859.18 and 20,257.08 is: 30,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.47 : 97,859.18 = 20,257.08 : x
  2. Step 2: Convert to fraction form
    65,235.47/97,859.18 = 20,257.08/x
  3. Step 3: Cross multiply
    65,235.47x = 97,859.18 × 20,257.08
  4. Step 4: Simplify right side
    65,235.47x = 1,982,341,136.71
  5. Step 5: Solve for x
    x = 1,982,341,136.71/65,235.47
  6. Step 6: Final answer
    x = 30,387.48

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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.