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Finding the Fourth Proportional to 131,460, 181,419.28 and 71,847.84

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Solution

The fourth proportional to 131,460, 181,419.28 and 71,847.84 is: 99,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,460 : 181,419.28 = 71,847.84 : x
  2. Step 2: Convert to fraction form
    131,460/181,419.28 = 71,847.84/x
  3. Step 3: Cross multiply
    131,460x = 181,419.28 × 71,847.84
  4. Step 4: Simplify right side
    131,460x = 13,034,583,402.36
  5. Step 5: Solve for x
    x = 13,034,583,402.36/131,460
  6. Step 6: Final answer
    x = 99,152.47

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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.