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Finding the Fourth Proportional to 65,122.38, 89,838.72 and 38,264.40

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Solution

The fourth proportional to 65,122.38, 89,838.72 and 38,264.40 is: 52,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122.38 : 89,838.72 = 38,264.40 : x
  2. Step 2: Convert to fraction form
    65,122.38/89,838.72 = 38,264.40/x
  3. Step 3: Cross multiply
    65,122.38x = 89,838.72 × 38,264.40
  4. Step 4: Simplify right side
    65,122.38x = 3,437,624,717.57
  5. Step 5: Solve for x
    x = 3,437,624,717.57/65,122.38
  6. Step 6: Final answer
    x = 52,787.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.