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Finding the Fourth Proportional to 66,754, 100,150.98 and 38,667.52

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Solution

The fourth proportional to 66,754, 100,150.98 and 38,667.52 is: 58,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,754 : 100,150.98 = 38,667.52 : x
  2. Step 2: Convert to fraction form
    66,754/100,150.98 = 38,667.52/x
  3. Step 3: Cross multiply
    66,754x = 100,150.98 × 38,667.52
  4. Step 4: Simplify right side
    66,754x = 3,872,590,022.17
  5. Step 5: Solve for x
    x = 3,872,590,022.17/66,754
  6. Step 6: Final answer
    x = 58,012.85

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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.