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Finding the Fourth Proportional to 131,276, 181,165.28 and 71,660

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Solution

The fourth proportional to 131,276, 181,165.28 and 71,660 is: 98,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,276 : 181,165.28 = 71,660 : x
  2. Step 2: Convert to fraction form
    131,276/181,165.28 = 71,660/x
  3. Step 3: Cross multiply
    131,276x = 181,165.28 × 71,660
  4. Step 4: Simplify right side
    131,276x = 12,982,303,964.80
  5. Step 5: Solve for x
    x = 12,982,303,964.80/131,276
  6. Step 6: Final answer
    x = 98,893.20

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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.