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Finding the Fourth Proportional to 135,488.66, 186,985.82 and 75,078.24

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Solution

The fourth proportional to 135,488.66, 186,985.82 and 75,078.24 is: 103,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,488.66 : 186,985.82 = 75,078.24 : x
  2. Step 2: Convert to fraction form
    135,488.66/186,985.82 = 75,078.24/x
  3. Step 3: Cross multiply
    135,488.66x = 186,985.82 × 75,078.24
  4. Step 4: Simplify right side
    135,488.66x = 14,038,566,270.56
  5. Step 5: Solve for x
    x = 14,038,566,270.56/135,488.66
  6. Step 6: Final answer
    x = 103,614.33

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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.