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Finding the Fourth Proportional to 131,854.49, 181,959.41 and 78,165.89

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Solution

The fourth proportional to 131,854.49, 181,959.41 and 78,165.89 is: 107,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,854.49 : 181,959.41 = 78,165.89 : x
  2. Step 2: Convert to fraction form
    131,854.49/181,959.41 = 78,165.89/x
  3. Step 3: Cross multiply
    131,854.49x = 181,959.41 × 78,165.89
  4. Step 4: Simplify right side
    131,854.49x = 14,223,019,226.52
  5. Step 5: Solve for x
    x = 14,223,019,226.52/131,854.49
  6. Step 6: Final answer
    x = 107,869.05

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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.