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Finding the Fourth Proportional to 131,165.68, 181,006.50 and 74,575.84

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Solution

The fourth proportional to 131,165.68, 181,006.50 and 74,575.84 is: 102,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,165.68 : 181,006.50 = 74,575.84 : x
  2. Step 2: Convert to fraction form
    131,165.68/181,006.50 = 74,575.84/x
  3. Step 3: Cross multiply
    131,165.68x = 181,006.50 × 74,575.84
  4. Step 4: Simplify right side
    131,165.68x = 13,498,711,782.96
  5. Step 5: Solve for x
    x = 13,498,711,782.96/131,165.68
  6. Step 6: Final answer
    x = 102,913.44

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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.