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Finding the Fourth Proportional to 158,174.91, 236,964.32 and 78,119.17

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Solution

The fourth proportional to 158,174.91, 236,964.32 and 78,119.17 is: 117,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,174.91 : 236,964.32 = 78,119.17 : x
  2. Step 2: Convert to fraction form
    158,174.91/236,964.32 = 78,119.17/x
  3. Step 3: Cross multiply
    158,174.91x = 236,964.32 × 78,119.17
  4. Step 4: Simplify right side
    158,174.91x = 18,511,455,307.95
  5. Step 5: Solve for x
    x = 18,511,455,307.95/158,174.91
  6. Step 6: Final answer
    x = 117,031.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.