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Finding the Fourth Proportional to 135,113.32, 186,437.32 and 76,971.58

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Solution

The fourth proportional to 135,113.32, 186,437.32 and 76,971.58 is: 106,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,113.32 : 186,437.32 = 76,971.58 : x
  2. Step 2: Convert to fraction form
    135,113.32/186,437.32 = 76,971.58/x
  3. Step 3: Cross multiply
    135,113.32x = 186,437.32 × 76,971.58
  4. Step 4: Simplify right side
    135,113.32x = 14,350,375,091.37
  5. Step 5: Solve for x
    x = 14,350,375,091.37/135,113.32
  6. Step 6: Final answer
    x = 106,209.92

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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.