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Finding the Fourth Proportional to 248,290.56, 342,648.12 and 135,120.48

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Solution

The fourth proportional to 248,290.56, 342,648.12 and 135,120.48 is: 186,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,290.56 : 342,648.12 = 135,120.48 : x
  2. Step 2: Convert to fraction form
    248,290.56/342,648.12 = 135,120.48/x
  3. Step 3: Cross multiply
    248,290.56x = 342,648.12 × 135,120.48
  4. Step 4: Simplify right side
    248,290.56x = 46,298,778,445.50
  5. Step 5: Solve for x
    x = 46,298,778,445.50/248,290.56
  6. Step 6: Final answer
    x = 186,470.15

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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.