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Finding the Fourth Proportional to 51,259, 70,731.72 and 29,743.78

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Solution

The fourth proportional to 51,259, 70,731.72 and 29,743.78 is: 41,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,259 : 70,731.72 = 29,743.78 : x
  2. Step 2: Convert to fraction form
    51,259/70,731.72 = 29,743.78/x
  3. Step 3: Cross multiply
    51,259x = 70,731.72 × 29,743.78
  4. Step 4: Simplify right side
    51,259x = 2,103,828,718.70
  5. Step 5: Solve for x
    x = 2,103,828,718.70/51,259
  6. Step 6: Final answer
    x = 41,043.11

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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.