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Finding the Fourth Proportional to 100,302.66, 150,321.15 and 83,695.50

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Solution

The fourth proportional to 100,302.66, 150,321.15 and 83,695.50 is: 125,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,302.66 : 150,321.15 = 83,695.50 : x
  2. Step 2: Convert to fraction form
    100,302.66/150,321.15 = 83,695.50/x
  3. Step 3: Cross multiply
    100,302.66x = 150,321.15 × 83,695.50
  4. Step 4: Simplify right side
    100,302.66x = 12,581,203,809.83
  5. Step 5: Solve for x
    x = 12,581,203,809.83/100,302.66
  6. Step 6: Final answer
    x = 125,432.40

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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.