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Finding the Fourth Proportional to 51,265.70, 70,751.55 and 31,117.97

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Solution

The fourth proportional to 51,265.70, 70,751.55 and 31,117.97 is: 42,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,265.70 : 70,751.55 = 31,117.97 : x
  2. Step 2: Convert to fraction form
    51,265.70/70,751.55 = 31,117.97/x
  3. Step 3: Cross multiply
    51,265.70x = 70,751.55 × 31,117.97
  4. Step 4: Simplify right side
    51,265.70x = 2,201,644,373.29
  5. Step 5: Solve for x
    x = 2,201,644,373.29/51,265.70
  6. Step 6: Final answer
    x = 42,945.76

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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.