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Finding the Fourth Proportional to 158,586.78, 218,854.82 and 86,966.63

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Solution

The fourth proportional to 158,586.78, 218,854.82 and 86,966.63 is: 120,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,586.78 : 218,854.82 = 86,966.63 : x
  2. Step 2: Convert to fraction form
    158,586.78/218,854.82 = 86,966.63/x
  3. Step 3: Cross multiply
    158,586.78x = 218,854.82 × 86,966.63
  4. Step 4: Simplify right side
    158,586.78x = 19,033,064,625.55
  5. Step 5: Solve for x
    x = 19,033,064,625.55/158,586.78
  6. Step 6: Final answer
    x = 120,016.72

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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.