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Finding the Fourth Proportional to 75,138.64, 103,691.16 and 43,307.32

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Solution

The fourth proportional to 75,138.64, 103,691.16 and 43,307.32 is: 59,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138.64 : 103,691.16 = 43,307.32 : x
  2. Step 2: Convert to fraction form
    75,138.64/103,691.16 = 43,307.32/x
  3. Step 3: Cross multiply
    75,138.64x = 103,691.16 × 43,307.32
  4. Step 4: Simplify right side
    75,138.64x = 4,490,586,247.29
  5. Step 5: Solve for x
    x = 4,490,586,247.29/75,138.64
  6. Step 6: Final answer
    x = 59,764.01

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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.