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Finding the Fourth Proportional to 225,512.78, 310,992.90 and 134,854.07

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Solution

The fourth proportional to 225,512.78, 310,992.90 and 134,854.07 is: 185,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,512.78 : 310,992.90 = 134,854.07 : x
  2. Step 2: Convert to fraction form
    225,512.78/310,992.90 = 134,854.07/x
  3. Step 3: Cross multiply
    225,512.78x = 310,992.90 × 134,854.07
  4. Step 4: Simplify right side
    225,512.78x = 41,938,658,306.10
  5. Step 5: Solve for x
    x = 41,938,658,306.10/225,512.78
  6. Step 6: Final answer
    x = 185,970.21

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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.