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Finding the Fourth Proportional to 90,965.62, 136,535.10 and 65,690.38

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Solution

The fourth proportional to 90,965.62, 136,535.10 and 65,690.38 is: 98,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,965.62 : 136,535.10 = 65,690.38 : x
  2. Step 2: Convert to fraction form
    90,965.62/136,535.10 = 65,690.38/x
  3. Step 3: Cross multiply
    90,965.62x = 136,535.10 × 65,690.38
  4. Step 4: Simplify right side
    90,965.62x = 8,969,042,602.34
  5. Step 5: Solve for x
    x = 8,969,042,602.34/90,965.62
  6. Step 6: Final answer
    x = 98,598.16

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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.