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Finding the Fourth Proportional to 65,587.68, 98,342.64 and 30,535.20

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Solution

The fourth proportional to 65,587.68, 98,342.64 and 30,535.20 is: 45,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,587.68 : 98,342.64 = 30,535.20 : x
  2. Step 2: Convert to fraction form
    65,587.68/98,342.64 = 30,535.20/x
  3. Step 3: Cross multiply
    65,587.68x = 98,342.64 × 30,535.20
  4. Step 4: Simplify right side
    65,587.68x = 3,002,912,180.93
  5. Step 5: Solve for x
    x = 3,002,912,180.93/65,587.68
  6. Step 6: Final answer
    x = 45,784.70

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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.