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Finding the Fourth Proportional to 71,077.82, 106,653.63 and 28,988.78

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Solution

The fourth proportional to 71,077.82, 106,653.63 and 28,988.78 is: 43,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.82 : 106,653.63 = 28,988.78 : x
  2. Step 2: Convert to fraction form
    71,077.82/106,653.63 = 28,988.78/x
  3. Step 3: Cross multiply
    71,077.82x = 106,653.63 × 28,988.78
  4. Step 4: Simplify right side
    71,077.82x = 3,091,758,616.27
  5. Step 5: Solve for x
    x = 3,091,758,616.27/71,077.82
  6. Step 6: Final answer
    x = 43,498.22

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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.