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Finding the Fourth Proportional to 51,405.92, 70,859.94 and 47,281.68

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Solution

The fourth proportional to 51,405.92, 70,859.94 and 47,281.68 is: 65,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,405.92 : 70,859.94 = 47,281.68 : x
  2. Step 2: Convert to fraction form
    51,405.92/70,859.94 = 47,281.68/x
  3. Step 3: Cross multiply
    51,405.92x = 70,859.94 × 47,281.68
  4. Step 4: Simplify right side
    51,405.92x = 3,350,377,007.90
  5. Step 5: Solve for x
    x = 3,350,377,007.90/51,405.92
  6. Step 6: Final answer
    x = 65,174.93

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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.