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Finding the Fourth Proportional to 147,098.76, 220,602.78 and 76,939.80

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Solution

The fourth proportional to 147,098.76, 220,602.78 and 76,939.80 is: 115,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,098.76 : 220,602.78 = 76,939.80 : x
  2. Step 2: Convert to fraction form
    147,098.76/220,602.78 = 76,939.80/x
  3. Step 3: Cross multiply
    147,098.76x = 220,602.78 × 76,939.80
  4. Step 4: Simplify right side
    147,098.76x = 16,973,133,772.64
  5. Step 5: Solve for x
    x = 16,973,133,772.64/147,098.76
  6. Step 6: Final answer
    x = 115,385.97

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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.