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Finding the Fourth Proportional to 100,114.16, 138,156.32 and 54,791.68

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Solution

The fourth proportional to 100,114.16, 138,156.32 and 54,791.68 is: 75,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,114.16 : 138,156.32 = 54,791.68 : x
  2. Step 2: Convert to fraction form
    100,114.16/138,156.32 = 54,791.68/x
  3. Step 3: Cross multiply
    100,114.16x = 138,156.32 × 54,791.68
  4. Step 4: Simplify right side
    100,114.16x = 7,569,816,875.42
  5. Step 5: Solve for x
    x = 7,569,816,875.42/100,114.16
  6. Step 6: Final answer
    x = 75,611.85

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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.