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Finding the Fourth Proportional to 65,488.64, 90,370.02 and 38,625.02

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Solution

The fourth proportional to 65,488.64, 90,370.02 and 38,625.02 is: 53,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,488.64 : 90,370.02 = 38,625.02 : x
  2. Step 2: Convert to fraction form
    65,488.64/90,370.02 = 38,625.02/x
  3. Step 3: Cross multiply
    65,488.64x = 90,370.02 × 38,625.02
  4. Step 4: Simplify right side
    65,488.64x = 3,490,543,829.90
  5. Step 5: Solve for x
    x = 3,490,543,829.90/65,488.64
  6. Step 6: Final answer
    x = 53,299.99

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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.