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Finding the Fourth Proportional to 75,312.38, 112,965.84 and 22,720.50

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Solution

The fourth proportional to 75,312.38, 112,965.84 and 22,720.50 is: 34,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,312.38 : 112,965.84 = 22,720.50 : x
  2. Step 2: Convert to fraction form
    75,312.38/112,965.84 = 22,720.50/x
  3. Step 3: Cross multiply
    75,312.38x = 112,965.84 × 22,720.50
  4. Step 4: Simplify right side
    75,312.38x = 2,566,640,367.72
  5. Step 5: Solve for x
    x = 2,566,640,367.72/75,312.38
  6. Step 6: Final answer
    x = 34,079.93

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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.