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Finding the Fourth Proportional to 131,752.32, 181,821.12 and 78,036.48

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Solution

The fourth proportional to 131,752.32, 181,821.12 and 78,036.48 is: 107,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,752.32 : 181,821.12 = 78,036.48 : x
  2. Step 2: Convert to fraction form
    131,752.32/181,821.12 = 78,036.48/x
  3. Step 3: Cross multiply
    131,752.32x = 181,821.12 × 78,036.48
  4. Step 4: Simplify right side
    131,752.32x = 14,188,680,194.46
  5. Step 5: Solve for x
    x = 14,188,680,194.46/131,752.32
  6. Step 6: Final answer
    x = 107,692.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.