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Finding the Fourth Proportional to 315,081.12, 472,619.25 and 78,422.22

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Solution

The fourth proportional to 315,081.12, 472,619.25 and 78,422.22 is: 117,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,081.12 : 472,619.25 = 78,422.22 : x
  2. Step 2: Convert to fraction form
    315,081.12/472,619.25 = 78,422.22/x
  3. Step 3: Cross multiply
    315,081.12x = 472,619.25 × 78,422.22
  4. Step 4: Simplify right side
    315,081.12x = 37,063,850,799.74
  5. Step 5: Solve for x
    x = 37,063,850,799.74/315,081.12
  6. Step 6: Final answer
    x = 117,632.73

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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.