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Finding the Fourth Proportional to 75,051.96, 112,706.72 and 66,637.47

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Solution

The fourth proportional to 75,051.96, 112,706.72 and 66,637.47 is: 100,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,051.96 : 112,706.72 = 66,637.47 : x
  2. Step 2: Convert to fraction form
    75,051.96/112,706.72 = 66,637.47/x
  3. Step 3: Cross multiply
    75,051.96x = 112,706.72 × 66,637.47
  4. Step 4: Simplify right side
    75,051.96x = 7,510,491,121.16
  5. Step 5: Solve for x
    x = 7,510,491,121.16/75,051.96
  6. Step 6: Final answer
    x = 100,070.56

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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.