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Finding the Fourth Proportional to 171,224.76, 256,488.98 and 139,747

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Solution

The fourth proportional to 171,224.76, 256,488.98 and 139,747 is: 209,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,224.76 : 256,488.98 = 139,747 : x
  2. Step 2: Convert to fraction form
    171,224.76/256,488.98 = 139,747/x
  3. Step 3: Cross multiply
    171,224.76x = 256,488.98 × 139,747
  4. Step 4: Simplify right side
    171,224.76x = 35,843,565,488.06
  5. Step 5: Solve for x
    x = 35,843,565,488.06/171,224.76
  6. Step 6: Final answer
    x = 209,336.35

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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.