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Finding the Fourth Proportional to 78,257.83, 117,373.11 and 36,134.32

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Solution

The fourth proportional to 78,257.83, 117,373.11 and 36,134.32 is: 54,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,257.83 : 117,373.11 = 36,134.32 : x
  2. Step 2: Convert to fraction form
    78,257.83/117,373.11 = 36,134.32/x
  3. Step 3: Cross multiply
    78,257.83x = 117,373.11 × 36,134.32
  4. Step 4: Simplify right side
    78,257.83x = 4,241,197,516.14
  5. Step 5: Solve for x
    x = 4,241,197,516.14/78,257.83
  6. Step 6: Final answer
    x = 54,195.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.