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Finding the Fourth Proportional to 51,655.76, 71,289.82 and 30,143.76

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Solution

The fourth proportional to 51,655.76, 71,289.82 and 30,143.76 is: 41,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,655.76 : 71,289.82 = 30,143.76 : x
  2. Step 2: Convert to fraction form
    51,655.76/71,289.82 = 30,143.76/x
  3. Step 3: Cross multiply
    51,655.76x = 71,289.82 × 30,143.76
  4. Step 4: Simplify right side
    51,655.76x = 2,148,943,586.06
  5. Step 5: Solve for x
    x = 2,148,943,586.06/51,655.76
  6. Step 6: Final answer
    x = 41,601.24

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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.