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Finding the Fourth Proportional to 78,115.13, 117,178.16 and 31,368

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Solution

The fourth proportional to 78,115.13, 117,178.16 and 31,368 is: 47,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,115.13 : 117,178.16 = 31,368 : x
  2. Step 2: Convert to fraction form
    78,115.13/117,178.16 = 31,368/x
  3. Step 3: Cross multiply
    78,115.13x = 117,178.16 × 31,368
  4. Step 4: Simplify right side
    78,115.13x = 3,675,644,366.04
  5. Step 5: Solve for x
    x = 3,675,644,366.04/78,115.13
  6. Step 6: Final answer
    x = 47,054.20

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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.