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Finding the Fourth Proportional to 131,127, 180,955.44 and 71,511

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Solution

The fourth proportional to 131,127, 180,955.44 and 71,511 is: 98,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,127 : 180,955.44 = 71,511 : x
  2. Step 2: Convert to fraction form
    131,127/180,955.44 = 71,511/x
  3. Step 3: Cross multiply
    131,127x = 180,955.44 × 71,511
  4. Step 4: Simplify right side
    131,127x = 12,940,304,469.84
  5. Step 5: Solve for x
    x = 12,940,304,469.84/131,127
  6. Step 6: Final answer
    x = 98,685.28

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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.