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Finding the Fourth Proportional to 131,471.76, 181,468.17 and 77,775.42

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Solution

The fourth proportional to 131,471.76, 181,468.17 and 77,775.42 is: 107,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,471.76 : 181,468.17 = 77,775.42 : x
  2. Step 2: Convert to fraction form
    131,471.76/181,468.17 = 77,775.42/x
  3. Step 3: Cross multiply
    131,471.76x = 181,468.17 × 77,775.42
  4. Step 4: Simplify right side
    131,471.76x = 14,113,763,138.38
  5. Step 5: Solve for x
    x = 14,113,763,138.38/131,471.76
  6. Step 6: Final answer
    x = 107,352.05

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1.5x scale

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.