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Finding the Fourth Proportional to 119,518.56, 179,359.38 and 77,418

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Solution

The fourth proportional to 119,518.56, 179,359.38 and 77,418 is: 116,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,518.56 : 179,359.38 = 77,418 : x
  2. Step 2: Convert to fraction form
    119,518.56/179,359.38 = 77,418/x
  3. Step 3: Cross multiply
    119,518.56x = 179,359.38 × 77,418
  4. Step 4: Simplify right side
    119,518.56x = 13,885,644,480.84
  5. Step 5: Solve for x
    x = 13,885,644,480.84/119,518.56
  6. Step 6: Final answer
    x = 116,179.82

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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.