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Finding the Fourth Proportional to 135,364.78, 186,801.14 and 74,934.16

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Solution

The fourth proportional to 135,364.78, 186,801.14 and 74,934.16 is: 103,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,364.78 : 186,801.14 = 74,934.16 : x
  2. Step 2: Convert to fraction form
    135,364.78/186,801.14 = 74,934.16/x
  3. Step 3: Cross multiply
    135,364.78x = 186,801.14 × 74,934.16
  4. Step 4: Simplify right side
    135,364.78x = 13,997,786,512.94
  5. Step 5: Solve for x
    x = 13,997,786,512.94/135,364.78
  6. Step 6: Final answer
    x = 103,407.89

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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.