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Finding the Fourth Proportional to 65,278.38, 97,915.95 and 20,904.96

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Solution

The fourth proportional to 65,278.38, 97,915.95 and 20,904.96 is: 31,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,278.38 : 97,915.95 = 20,904.96 : x
  2. Step 2: Convert to fraction form
    65,278.38/97,915.95 = 20,904.96/x
  3. Step 3: Cross multiply
    65,278.38x = 97,915.95 × 20,904.96
  4. Step 4: Simplify right side
    65,278.38x = 2,046,929,018.11
  5. Step 5: Solve for x
    x = 2,046,929,018.11/65,278.38
  6. Step 6: Final answer
    x = 31,356.92

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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.