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Finding the Fourth Proportional to 217,253.50, 299,809.12 and 126,663.10

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Solution

The fourth proportional to 217,253.50, 299,809.12 and 126,663.10 is: 174,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,253.50 : 299,809.12 = 126,663.10 : x
  2. Step 2: Convert to fraction form
    217,253.50/299,809.12 = 126,663.10/x
  3. Step 3: Cross multiply
    217,253.50x = 299,809.12 × 126,663.10
  4. Step 4: Simplify right side
    217,253.50x = 37,974,752,547.47
  5. Step 5: Solve for x
    x = 37,974,752,547.47/217,253.50
  6. Step 6: Final answer
    x = 174,794.66

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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.