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Finding the Fourth Proportional to 142,586.48, 213,759.42 and 89,879.78

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Solution

The fourth proportional to 142,586.48, 213,759.42 and 89,879.78 is: 134,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,586.48 : 213,759.42 = 89,879.78 : x
  2. Step 2: Convert to fraction form
    142,586.48/213,759.42 = 89,879.78/x
  3. Step 3: Cross multiply
    142,586.48x = 213,759.42 × 89,879.78
  4. Step 4: Simplify right side
    142,586.48x = 19,212,649,642.53
  5. Step 5: Solve for x
    x = 19,212,649,642.53/142,586.48
  6. Step 6: Final answer
    x = 134,743.84

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1.5x scale

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.