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Finding the Fourth Proportional to 162,229.75, 243,344.64 and 51,421.75

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Solution

The fourth proportional to 162,229.75, 243,344.64 and 51,421.75 is: 77,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,229.75 : 243,344.64 = 51,421.75 : x
  2. Step 2: Convert to fraction form
    162,229.75/243,344.64 = 51,421.75/x
  3. Step 3: Cross multiply
    162,229.75x = 243,344.64 × 51,421.75
  4. Step 4: Simplify right side
    162,229.75x = 12,513,207,241.92
  5. Step 5: Solve for x
    x = 12,513,207,241.92/162,229.75
  6. Step 6: Final answer
    x = 77,132.63

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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.