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Finding the Fourth Proportional to 117,178.91, 161,695.33 and 65,486.46

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Solution

The fourth proportional to 117,178.91, 161,695.33 and 65,486.46 is: 90,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,178.91 : 161,695.33 = 65,486.46 : x
  2. Step 2: Convert to fraction form
    117,178.91/161,695.33 = 65,486.46/x
  3. Step 3: Cross multiply
    117,178.91x = 161,695.33 × 65,486.46
  4. Step 4: Simplify right side
    117,178.91x = 10,588,854,760.23
  5. Step 5: Solve for x
    x = 10,588,854,760.23/117,178.91
  6. Step 6: Final answer
    x = 90,364.85

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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.