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Finding the Fourth Proportional to 75,714, 104,488.92 and 42,180

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Solution

The fourth proportional to 75,714, 104,488.92 and 42,180 is: 58,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714 : 104,488.92 = 42,180 : x
  2. Step 2: Convert to fraction form
    75,714/104,488.92 = 42,180/x
  3. Step 3: Cross multiply
    75,714x = 104,488.92 × 42,180
  4. Step 4: Simplify right side
    75,714x = 4,407,342,645.60
  5. Step 5: Solve for x
    x = 4,407,342,645.60/75,714
  6. Step 6: Final answer
    x = 58,210.41

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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.