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Finding the Fourth Proportional to 157,311.66, 217,083.42 and 85,692.24

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Solution

The fourth proportional to 157,311.66, 217,083.42 and 85,692.24 is: 118,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,311.66 : 217,083.42 = 85,692.24 : x
  2. Step 2: Convert to fraction form
    157,311.66/217,083.42 = 85,692.24/x
  3. Step 3: Cross multiply
    157,311.66x = 217,083.42 × 85,692.24
  4. Step 4: Simplify right side
    157,311.66x = 18,602,364,526.66
  5. Step 5: Solve for x
    x = 18,602,364,526.66/157,311.66
  6. Step 6: Final answer
    x = 118,251.66

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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.