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Finding the Fourth Proportional to 147,502.20, 221,253.30 and 85,099.80

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Solution

The fourth proportional to 147,502.20, 221,253.30 and 85,099.80 is: 127,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,502.20 : 221,253.30 = 85,099.80 : x
  2. Step 2: Convert to fraction form
    147,502.20/221,253.30 = 85,099.80/x
  3. Step 3: Cross multiply
    147,502.20x = 221,253.30 × 85,099.80
  4. Step 4: Simplify right side
    147,502.20x = 18,828,611,579.34
  5. Step 5: Solve for x
    x = 18,828,611,579.34/147,502.20
  6. Step 6: Final answer
    x = 127,649.70

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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.