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Finding the Fourth Proportional to 71,062.85, 106,661.25 and 52,285.63

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Solution

The fourth proportional to 71,062.85, 106,661.25 and 52,285.63 is: 78,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,062.85 : 106,661.25 = 52,285.63 : x
  2. Step 2: Convert to fraction form
    71,062.85/106,661.25 = 52,285.63/x
  3. Step 3: Cross multiply
    71,062.85x = 106,661.25 × 52,285.63
  4. Step 4: Simplify right side
    71,062.85x = 5,576,850,391.41
  5. Step 5: Solve for x
    x = 5,576,850,391.41/71,062.85
  6. Step 6: Final answer
    x = 78,477.72

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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.