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Finding the Fourth Proportional to 101,809.90, 152,516.13 and 66,642.94

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Solution

The fourth proportional to 101,809.90, 152,516.13 and 66,642.94 is: 99,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,809.90 : 152,516.13 = 66,642.94 : x
  2. Step 2: Convert to fraction form
    101,809.90/152,516.13 = 66,642.94/x
  3. Step 3: Cross multiply
    101,809.90x = 152,516.13 × 66,642.94
  4. Step 4: Simplify right side
    101,809.90x = 10,164,123,300.62
  5. Step 5: Solve for x
    x = 10,164,123,300.62/101,809.90
  6. Step 6: Final answer
    x = 99,834.33

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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.