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Finding the Fourth Proportional to 71,207.61, 106,903.76 and 47,665.77

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Solution

The fourth proportional to 71,207.61, 106,903.76 and 47,665.77 is: 71,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,207.61 : 106,903.76 = 47,665.77 : x
  2. Step 2: Convert to fraction form
    71,207.61/106,903.76 = 47,665.77/x
  3. Step 3: Cross multiply
    71,207.61x = 106,903.76 × 47,665.77
  4. Step 4: Simplify right side
    71,207.61x = 5,095,649,797.97
  5. Step 5: Solve for x
    x = 5,095,649,797.97/71,207.61
  6. Step 6: Final answer
    x = 71,560.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.