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Finding the Fourth Proportional to 66,117.84, 91,242.29 and 35,902.90

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Solution

The fourth proportional to 66,117.84, 91,242.29 and 35,902.90 is: 49,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,117.84 : 91,242.29 = 35,902.90 : x
  2. Step 2: Convert to fraction form
    66,117.84/91,242.29 = 35,902.90/x
  3. Step 3: Cross multiply
    66,117.84x = 91,242.29 × 35,902.90
  4. Step 4: Simplify right side
    66,117.84x = 3,275,862,634.13
  5. Step 5: Solve for x
    x = 3,275,862,634.13/66,117.84
  6. Step 6: Final answer
    x = 49,545.82

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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.