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Finding the Fourth Proportional to 77,574.65, 116,358.12 and 45,571.55

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Solution

The fourth proportional to 77,574.65, 116,358.12 and 45,571.55 is: 68,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574.65 : 116,358.12 = 45,571.55 : x
  2. Step 2: Convert to fraction form
    77,574.65/116,358.12 = 45,571.55/x
  3. Step 3: Cross multiply
    77,574.65x = 116,358.12 × 45,571.55
  4. Step 4: Simplify right side
    77,574.65x = 5,302,619,301.70
  5. Step 5: Solve for x
    x = 5,302,619,301.70/77,574.65
  6. Step 6: Final answer
    x = 68,355.06

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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.