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Finding the Fourth Proportional to 342,142.80, 513,214.20 and 92,824.80

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Solution

The fourth proportional to 342,142.80, 513,214.20 and 92,824.80 is: 139,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,142.80 : 513,214.20 = 92,824.80 : x
  2. Step 2: Convert to fraction form
    342,142.80/513,214.20 = 92,824.80/x
  3. Step 3: Cross multiply
    342,142.80x = 513,214.20 × 92,824.80
  4. Step 4: Simplify right side
    342,142.80x = 47,639,005,472.16
  5. Step 5: Solve for x
    x = 47,639,005,472.16/342,142.80
  6. Step 6: Final answer
    x = 139,237.20

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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.