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Finding the Fourth Proportional to 217,223.68, 299,763.76 and 126,574

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Solution

The fourth proportional to 217,223.68, 299,763.76 and 126,574 is: 174,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,223.68 : 299,763.76 = 126,574 : x
  2. Step 2: Convert to fraction form
    217,223.68/299,763.76 = 126,574/x
  3. Step 3: Cross multiply
    217,223.68x = 299,763.76 × 126,574
  4. Step 4: Simplify right side
    217,223.68x = 37,942,298,158.24
  5. Step 5: Solve for x
    x = 37,942,298,158.24/217,223.68
  6. Step 6: Final answer
    x = 174,669.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.