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Finding the Fourth Proportional to 119,045.87, 164,278.14 and 65,331.79

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Solution

The fourth proportional to 119,045.87, 164,278.14 and 65,331.79 is: 90,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,045.87 : 164,278.14 = 65,331.79 : x
  2. Step 2: Convert to fraction form
    119,045.87/164,278.14 = 65,331.79/x
  3. Step 3: Cross multiply
    119,045.87x = 164,278.14 × 65,331.79
  4. Step 4: Simplify right side
    119,045.87x = 10,732,584,944.07
  5. Step 5: Solve for x
    x = 10,732,584,944.07/119,045.87
  6. Step 6: Final answer
    x = 90,155.04

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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.