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Finding the Fourth Proportional to 157,003.42, 216,662.66 and 85,381.90

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Solution

The fourth proportional to 157,003.42, 216,662.66 and 85,381.90 is: 117,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,003.42 : 216,662.66 = 85,381.90 : x
  2. Step 2: Convert to fraction form
    157,003.42/216,662.66 = 85,381.90/x
  3. Step 3: Cross multiply
    157,003.42x = 216,662.66 × 85,381.90
  4. Step 4: Simplify right side
    157,003.42x = 18,499,069,569.85
  5. Step 5: Solve for x
    x = 18,499,069,569.85/157,003.42
  6. Step 6: Final answer
    x = 117,825.90

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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.