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Finding the Fourth Proportional to 207,277.87, 310,916.82 and 57,518.20

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Solution

The fourth proportional to 207,277.87, 310,916.82 and 57,518.20 is: 86,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,277.87 : 310,916.82 = 57,518.20 : x
  2. Step 2: Convert to fraction form
    207,277.87/310,916.82 = 57,518.20/x
  3. Step 3: Cross multiply
    207,277.87x = 310,916.82 × 57,518.20
  4. Step 4: Simplify right side
    207,277.87x = 17,883,375,836.12
  5. Step 5: Solve for x
    x = 17,883,375,836.12/207,277.87
  6. Step 6: Final answer
    x = 86,277.30

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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.