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Finding the Fourth Proportional to 217,277.80, 325,949.10 and 77,025.40

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Solution

The fourth proportional to 217,277.80, 325,949.10 and 77,025.40 is: 115,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,277.80 : 325,949.10 = 77,025.40 : x
  2. Step 2: Convert to fraction form
    217,277.80/325,949.10 = 77,025.40/x
  3. Step 3: Cross multiply
    217,277.80x = 325,949.10 × 77,025.40
  4. Step 4: Simplify right side
    217,277.80x = 25,106,359,807.14
  5. Step 5: Solve for x
    x = 25,106,359,807.14/217,277.80
  6. Step 6: Final answer
    x = 115,549.59

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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.