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Finding the Fourth Proportional to 174,290.78, 261,436.17 and 121,802.78

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Solution

The fourth proportional to 174,290.78, 261,436.17 and 121,802.78 is: 182,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,290.78 : 261,436.17 = 121,802.78 : x
  2. Step 2: Convert to fraction form
    174,290.78/261,436.17 = 121,802.78/x
  3. Step 3: Cross multiply
    174,290.78x = 261,436.17 × 121,802.78
  4. Step 4: Simplify right side
    174,290.78x = 31,843,652,298.55
  5. Step 5: Solve for x
    x = 31,843,652,298.55/174,290.78
  6. Step 6: Final answer
    x = 182,704.17

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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.