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Finding the Fourth Proportional to 75,126.88, 112,656.30 and 35,731.72

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Solution

The fourth proportional to 75,126.88, 112,656.30 and 35,731.72 is: 53,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,126.88 : 112,656.30 = 35,731.72 : x
  2. Step 2: Convert to fraction form
    75,126.88/112,656.30 = 35,731.72/x
  3. Step 3: Cross multiply
    75,126.88x = 112,656.30 × 35,731.72
  4. Step 4: Simplify right side
    75,126.88x = 4,025,403,367.84
  5. Step 5: Solve for x
    x = 4,025,403,367.84/75,126.88
  6. Step 6: Final answer
    x = 53,581.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.