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Finding the Fourth Proportional to 131,328, 181,232.64 and 71,712

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Solution

The fourth proportional to 131,328, 181,232.64 and 71,712 is: 98,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,328 : 181,232.64 = 71,712 : x
  2. Step 2: Convert to fraction form
    131,328/181,232.64 = 71,712/x
  3. Step 3: Cross multiply
    131,328x = 181,232.64 × 71,712
  4. Step 4: Simplify right side
    131,328x = 12,996,555,079.68
  5. Step 5: Solve for x
    x = 12,996,555,079.68/131,328
  6. Step 6: Final answer
    x = 98,962.56

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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.