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Finding the Fourth Proportional to 135,128, 186,488.16 and 75,523.52

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Solution

The fourth proportional to 135,128, 186,488.16 and 75,523.52 is: 104,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,128 : 186,488.16 = 75,523.52 : x
  2. Step 2: Convert to fraction form
    135,128/186,488.16 = 75,523.52/x
  3. Step 3: Cross multiply
    135,128x = 186,488.16 × 75,523.52
  4. Step 4: Simplify right side
    135,128x = 14,084,242,281.52
  5. Step 5: Solve for x
    x = 14,084,242,281.52/135,128
  6. Step 6: Final answer
    x = 104,228.90

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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.