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Finding the Fourth Proportional to 193,155.66, 289,720.80 and 66,766.50

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Solution

The fourth proportional to 193,155.66, 289,720.80 and 66,766.50 is: 100,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,155.66 : 289,720.80 = 66,766.50 : x
  2. Step 2: Convert to fraction form
    193,155.66/289,720.80 = 66,766.50/x
  3. Step 3: Cross multiply
    193,155.66x = 289,720.80 × 66,766.50
  4. Step 4: Simplify right side
    193,155.66x = 19,343,643,793.20
  5. Step 5: Solve for x
    x = 19,343,643,793.20/193,155.66
  6. Step 6: Final answer
    x = 100,145.36

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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.