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Finding the Fourth Proportional to 66,507.29, 99,759.87 and 30,948.71

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Solution

The fourth proportional to 66,507.29, 99,759.87 and 30,948.71 is: 46,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,507.29 : 99,759.87 = 30,948.71 : x
  2. Step 2: Convert to fraction form
    66,507.29/99,759.87 = 30,948.71/x
  3. Step 3: Cross multiply
    66,507.29x = 99,759.87 × 30,948.71
  4. Step 4: Simplify right side
    66,507.29x = 3,087,439,535.67
  5. Step 5: Solve for x
    x = 3,087,439,535.67/66,507.29
  6. Step 6: Final answer
    x = 46,422.58

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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.