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Finding the Fourth Proportional to 131,753.32, 181,822.50 and 78,037.48

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Solution

The fourth proportional to 131,753.32, 181,822.50 and 78,037.48 is: 107,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,753.32 : 181,822.50 = 78,037.48 : x
  2. Step 2: Convert to fraction form
    131,753.32/181,822.50 = 78,037.48/x
  3. Step 3: Cross multiply
    131,753.32x = 181,822.50 × 78,037.48
  4. Step 4: Simplify right side
    131,753.32x = 14,188,969,707.30
  5. Step 5: Solve for x
    x = 14,188,969,707.30/131,753.32
  6. Step 6: Final answer
    x = 107,693.45

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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.