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Finding the Fourth Proportional to 51,570, 71,162.76 and 29,213.52

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Solution

The fourth proportional to 51,570, 71,162.76 and 29,213.52 is: 40,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,570 : 71,162.76 = 29,213.52 : x
  2. Step 2: Convert to fraction form
    51,570/71,162.76 = 29,213.52/x
  3. Step 3: Cross multiply
    51,570x = 71,162.76 × 29,213.52
  4. Step 4: Simplify right side
    51,570x = 2,078,914,712.52
  5. Step 5: Solve for x
    x = 2,078,914,712.52/51,570
  6. Step 6: Final answer
    x = 40,312.48

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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.