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Finding the Fourth Proportional to 158,274.46, 218,417.40 and 85,677

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Solution

The fourth proportional to 158,274.46, 218,417.40 and 85,677 is: 118,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,274.46 : 218,417.40 = 85,677 : x
  2. Step 2: Convert to fraction form
    158,274.46/218,417.40 = 85,677/x
  3. Step 3: Cross multiply
    158,274.46x = 218,417.40 × 85,677
  4. Step 4: Simplify right side
    158,274.46x = 18,713,347,579.80
  5. Step 5: Solve for x
    x = 18,713,347,579.80/158,274.46
  6. Step 6: Final answer
    x = 118,233.53

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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.