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Finding the Fourth Proportional to 119,098.14, 178,415 and 66,348.78

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Solution

The fourth proportional to 119,098.14, 178,415 and 66,348.78 is: 99,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,098.14 : 178,415 = 66,348.78 : x
  2. Step 2: Convert to fraction form
    119,098.14/178,415 = 66,348.78/x
  3. Step 3: Cross multiply
    119,098.14x = 178,415 × 66,348.78
  4. Step 4: Simplify right side
    119,098.14x = 11,837,617,583.70
  5. Step 5: Solve for x
    x = 11,837,617,583.70/119,098.14
  6. Step 6: Final answer
    x = 99,393.81

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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.