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Finding the Fourth Proportional to 252,141.88, 347,946.96 and 137,418.16

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Solution

The fourth proportional to 252,141.88, 347,946.96 and 137,418.16 is: 189,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,141.88 : 347,946.96 = 137,418.16 : x
  2. Step 2: Convert to fraction form
    252,141.88/347,946.96 = 137,418.16/x
  3. Step 3: Cross multiply
    252,141.88x = 347,946.96 × 137,418.16
  4. Step 4: Simplify right side
    252,141.88x = 47,814,231,020.79
  5. Step 5: Solve for x
    x = 47,814,231,020.79/252,141.88
  6. Step 6: Final answer
    x = 189,632.25

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1.5x scale

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.