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Finding the Fourth Proportional to 157,211.82, 216,952.34 and 85,591.84

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Solution

The fourth proportional to 157,211.82, 216,952.34 and 85,591.84 is: 118,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,211.82 : 216,952.34 = 85,591.84 : x
  2. Step 2: Convert to fraction form
    157,211.82/216,952.34 = 85,591.84/x
  3. Step 3: Cross multiply
    157,211.82x = 216,952.34 × 85,591.84
  4. Step 4: Simplify right side
    157,211.82x = 18,569,349,544.95
  5. Step 5: Solve for x
    x = 18,569,349,544.95/157,211.82
  6. Step 6: Final answer
    x = 118,116.76

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1.5x scale

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.