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Finding the Fourth Proportional to 138,575.64, 191,219.58 and 78,144.96

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Solution

The fourth proportional to 138,575.64, 191,219.58 and 78,144.96 is: 107,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,575.64 : 191,219.58 = 78,144.96 : x
  2. Step 2: Convert to fraction form
    138,575.64/191,219.58 = 78,144.96/x
  3. Step 3: Cross multiply
    138,575.64x = 191,219.58 × 78,144.96
  4. Step 4: Simplify right side
    138,575.64x = 14,942,846,430.32
  5. Step 5: Solve for x
    x = 14,942,846,430.32/138,575.64
  6. Step 6: Final answer
    x = 107,831.70

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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.