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Finding the Fourth Proportional to 136,967.61, 189,034.10 and 78,823.16

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Solution

The fourth proportional to 136,967.61, 189,034.10 and 78,823.16 is: 108,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,967.61 : 189,034.10 = 78,823.16 : x
  2. Step 2: Convert to fraction form
    136,967.61/189,034.10 = 78,823.16/x
  3. Step 3: Cross multiply
    136,967.61x = 189,034.10 × 78,823.16
  4. Step 4: Simplify right side
    136,967.61x = 14,900,265,109.76
  5. Step 5: Solve for x
    x = 14,900,265,109.76/136,967.61
  6. Step 6: Final answer
    x = 108,786.78

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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.