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Finding the Fourth Proportional to 217,752.71, 326,501.91 and 84,477.24

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Solution

The fourth proportional to 217,752.71, 326,501.91 and 84,477.24 is: 126,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,752.71 : 326,501.91 = 84,477.24 : x
  2. Step 2: Convert to fraction form
    217,752.71/326,501.91 = 84,477.24/x
  3. Step 3: Cross multiply
    217,752.71x = 326,501.91 × 84,477.24
  4. Step 4: Simplify right side
    217,752.71x = 27,581,980,211.53
  5. Step 5: Solve for x
    x = 27,581,980,211.53/217,752.71
  6. Step 6: Final answer
    x = 126,666.53

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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.