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Finding the Fourth Proportional to 75,117.69, 103,668.17 and 42,853.02

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Solution

The fourth proportional to 75,117.69, 103,668.17 and 42,853.02 is: 59,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,117.69 : 103,668.17 = 42,853.02 : x
  2. Step 2: Convert to fraction form
    75,117.69/103,668.17 = 42,853.02/x
  3. Step 3: Cross multiply
    75,117.69x = 103,668.17 × 42,853.02
  4. Step 4: Simplify right side
    75,117.69x = 4,442,493,559.35
  5. Step 5: Solve for x
    x = 4,442,493,559.35/75,117.69
  6. Step 6: Final answer
    x = 59,140.44

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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.