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Finding the Fourth Proportional to 64,952.97, 97,432.20 and 20,578.74

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Solution

The fourth proportional to 64,952.97, 97,432.20 and 20,578.74 is: 30,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.97 : 97,432.20 = 20,578.74 : x
  2. Step 2: Convert to fraction form
    64,952.97/97,432.20 = 20,578.74/x
  3. Step 3: Cross multiply
    64,952.97x = 97,432.20 × 20,578.74
  4. Step 4: Simplify right side
    64,952.97x = 2,005,031,911.43
  5. Step 5: Solve for x
    x = 2,005,031,911.43/64,952.97
  6. Step 6: Final answer
    x = 30,868.98

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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.