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Finding the Fourth Proportional to 71,208.66, 106,719.52 and 52,400.64

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Solution

The fourth proportional to 71,208.66, 106,719.52 and 52,400.64 is: 78,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208.66 : 106,719.52 = 52,400.64 : x
  2. Step 2: Convert to fraction form
    71,208.66/106,719.52 = 52,400.64/x
  3. Step 3: Cross multiply
    71,208.66x = 106,719.52 × 52,400.64
  4. Step 4: Simplify right side
    71,208.66x = 5,592,171,148.49
  5. Step 5: Solve for x
    x = 5,592,171,148.49/71,208.66
  6. Step 6: Final answer
    x = 78,532.18

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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.