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Finding the Fourth Proportional to 135,468.59, 186,948.15 and 75,040.16

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Solution

The fourth proportional to 135,468.59, 186,948.15 and 75,040.16 is: 103,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,468.59 : 186,948.15 = 75,040.16 : x
  2. Step 2: Convert to fraction form
    135,468.59/186,948.15 = 75,040.16/x
  3. Step 3: Cross multiply
    135,468.59x = 186,948.15 × 75,040.16
  4. Step 4: Simplify right side
    135,468.59x = 14,028,619,087.70
  5. Step 5: Solve for x
    x = 14,028,619,087.70/135,468.59
  6. Step 6: Final answer
    x = 103,556.25

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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.