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Finding the Fourth Proportional to 158,464, 218,680.32 and 91,396

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Solution

The fourth proportional to 158,464, 218,680.32 and 91,396 is: 126,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,464 : 218,680.32 = 91,396 : x
  2. Step 2: Convert to fraction form
    158,464/218,680.32 = 91,396/x
  3. Step 3: Cross multiply
    158,464x = 218,680.32 × 91,396
  4. Step 4: Simplify right side
    158,464x = 19,986,506,526.72
  5. Step 5: Solve for x
    x = 19,986,506,526.72/158,464
  6. Step 6: Final answer
    x = 126,126.48

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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.