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Finding the Fourth Proportional to 207,210.47, 310,815.72 and 57,450.76

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Solution

The fourth proportional to 207,210.47, 310,815.72 and 57,450.76 is: 86,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,210.47 : 310,815.72 = 57,450.76 : x
  2. Step 2: Convert to fraction form
    207,210.47/310,815.72 = 57,450.76/x
  3. Step 3: Cross multiply
    207,210.47x = 310,815.72 × 57,450.76
  4. Step 4: Simplify right side
    207,210.47x = 17,856,600,251.39
  5. Step 5: Solve for x
    x = 17,856,600,251.39/207,210.47
  6. Step 6: Final answer
    x = 86,176.15

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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.