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Finding the Fourth Proportional to 65,702.28, 98,553.96 and 28,259.76

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Solution

The fourth proportional to 65,702.28, 98,553.96 and 28,259.76 is: 42,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,702.28 : 98,553.96 = 28,259.76 : x
  2. Step 2: Convert to fraction form
    65,702.28/98,553.96 = 28,259.76/x
  3. Step 3: Cross multiply
    65,702.28x = 98,553.96 × 28,259.76
  4. Step 4: Simplify right side
    65,702.28x = 2,785,111,256.65
  5. Step 5: Solve for x
    x = 2,785,111,256.65/65,702.28
  6. Step 6: Final answer
    x = 42,389.87

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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.