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Finding the Fourth Proportional to 142,363.26, 213,472.80 and 47,559.69

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Solution

The fourth proportional to 142,363.26, 213,472.80 and 47,559.69 is: 71,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,363.26 : 213,472.80 = 47,559.69 : x
  2. Step 2: Convert to fraction form
    142,363.26/213,472.80 = 47,559.69/x
  3. Step 3: Cross multiply
    142,363.26x = 213,472.80 × 47,559.69
  4. Step 4: Simplify right side
    142,363.26x = 10,152,700,191.43
  5. Step 5: Solve for x
    x = 10,152,700,191.43/142,363.26
  6. Step 6: Final answer
    x = 71,315.45

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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.