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Finding the Fourth Proportional to 315,081.65, 472,620.05 and 78,422.74

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Solution

The fourth proportional to 315,081.65, 472,620.05 and 78,422.74 is: 117,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,081.65 : 472,620.05 = 78,422.74 : x
  2. Step 2: Convert to fraction form
    315,081.65/472,620.05 = 78,422.74/x
  3. Step 3: Cross multiply
    315,081.65x = 472,620.05 × 78,422.74
  4. Step 4: Simplify right side
    315,081.65x = 37,064,157,726.27
  5. Step 5: Solve for x
    x = 37,064,157,726.27/315,081.65
  6. Step 6: Final answer
    x = 117,633.50

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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.