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Finding the Fourth Proportional to 135,402.34, 186,865.72 and 74,978.60

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Solution

The fourth proportional to 135,402.34, 186,865.72 and 74,978.60 is: 103,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,402.34 : 186,865.72 = 74,978.60 : x
  2. Step 2: Convert to fraction form
    135,402.34/186,865.72 = 74,978.60/x
  3. Step 3: Cross multiply
    135,402.34x = 186,865.72 × 74,978.60
  4. Step 4: Simplify right side
    135,402.34x = 14,010,930,073.59
  5. Step 5: Solve for x
    x = 14,010,930,073.59/135,402.34
  6. Step 6: Final answer
    x = 103,476.28

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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.