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Finding the Fourth Proportional to 78,195.57, 117,199.32 and 36,017.65

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Solution

The fourth proportional to 78,195.57, 117,199.32 and 36,017.65 is: 53,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.57 : 117,199.32 = 36,017.65 : x
  2. Step 2: Convert to fraction form
    78,195.57/117,199.32 = 36,017.65/x
  3. Step 3: Cross multiply
    78,195.57x = 117,199.32 × 36,017.65
  4. Step 4: Simplify right side
    78,195.57x = 4,221,244,088.00
  5. Step 5: Solve for x
    x = 4,221,244,088.00/78,195.57
  6. Step 6: Final answer
    x = 53,983.16

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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.