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Finding the Fourth Proportional to 117,332.56, 161,832.90 and 77,031.61

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Solution

The fourth proportional to 117,332.56, 161,832.90 and 77,031.61 is: 106,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,332.56 : 161,832.90 = 77,031.61 : x
  2. Step 2: Convert to fraction form
    117,332.56/161,832.90 = 77,031.61/x
  3. Step 3: Cross multiply
    117,332.56x = 161,832.90 × 77,031.61
  4. Step 4: Simplify right side
    117,332.56x = 12,466,248,837.97
  5. Step 5: Solve for x
    x = 12,466,248,837.97/117,332.56
  6. Step 6: Final answer
    x = 106,247.14

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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.