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Finding the Fourth Proportional to 180,221.46, 248,694.93 and 99,642.66

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Solution

The fourth proportional to 180,221.46, 248,694.93 and 99,642.66 is: 137,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,221.46 : 248,694.93 = 99,642.66 : x
  2. Step 2: Convert to fraction form
    180,221.46/248,694.93 = 99,642.66/x
  3. Step 3: Cross multiply
    180,221.46x = 248,694.93 × 99,642.66
  4. Step 4: Simplify right side
    180,221.46x = 24,780,624,353.71
  5. Step 5: Solve for x
    x = 24,780,624,353.71/180,221.46
  6. Step 6: Final answer
    x = 137,500.96

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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.