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Finding the Fourth Proportional to 135,468.47, 186,938.26 and 75,035.59

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Solution

The fourth proportional to 135,468.47, 186,938.26 and 75,035.59 is: 103,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,468.47 : 186,938.26 = 75,035.59 : x
  2. Step 2: Convert to fraction form
    135,468.47/186,938.26 = 75,035.59/x
  3. Step 3: Cross multiply
    135,468.47x = 186,938.26 × 75,035.59
  4. Step 4: Simplify right side
    135,468.47x = 14,027,021,977.74
  5. Step 5: Solve for x
    x = 14,027,021,977.74/135,468.47
  6. Step 6: Final answer
    x = 103,544.55

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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.