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Finding the Fourth Proportional to 100,869.30, 151,299.63 and 34,308.90

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Solution

The fourth proportional to 100,869.30, 151,299.63 and 34,308.90 is: 51,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,869.30 : 151,299.63 = 34,308.90 : x
  2. Step 2: Convert to fraction form
    100,869.30/151,299.63 = 34,308.90/x
  3. Step 3: Cross multiply
    100,869.30x = 151,299.63 × 34,308.90
  4. Step 4: Simplify right side
    100,869.30x = 5,190,923,875.71
  5. Step 5: Solve for x
    x = 5,190,923,875.71/100,869.30
  6. Step 6: Final answer
    x = 51,461.88

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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.