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Finding the Fourth Proportional to 151,459.44, 209,014.20 and 87,834.21

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Solution

The fourth proportional to 151,459.44, 209,014.20 and 87,834.21 is: 121,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,459.44 : 209,014.20 = 87,834.21 : x
  2. Step 2: Convert to fraction form
    151,459.44/209,014.20 = 87,834.21/x
  3. Step 3: Cross multiply
    151,459.44x = 209,014.20 × 87,834.21
  4. Step 4: Simplify right side
    151,459.44x = 18,358,597,135.78
  5. Step 5: Solve for x
    x = 18,358,597,135.78/151,459.44
  6. Step 6: Final answer
    x = 121,211.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.