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Finding the Fourth Proportional to 78,486.87, 117,572.49 and 36,307.74

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Solution

The fourth proportional to 78,486.87, 117,572.49 and 36,307.74 is: 54,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,486.87 : 117,572.49 = 36,307.74 : x
  2. Step 2: Convert to fraction form
    78,486.87/117,572.49 = 36,307.74/x
  3. Step 3: Cross multiply
    78,486.87x = 117,572.49 × 36,307.74
  4. Step 4: Simplify right side
    78,486.87x = 4,268,791,398.07
  5. Step 5: Solve for x
    x = 4,268,791,398.07/78,486.87
  6. Step 6: Final answer
    x = 54,388.61

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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.