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Finding the Fourth Proportional to 252,122.78, 347,929.50 and 137,401.46

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Solution

The fourth proportional to 252,122.78, 347,929.50 and 137,401.46 is: 189,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,122.78 : 347,929.50 = 137,401.46 : x
  2. Step 2: Convert to fraction form
    252,122.78/347,929.50 = 137,401.46/x
  3. Step 3: Cross multiply
    252,122.78x = 347,929.50 × 137,401.46
  4. Step 4: Simplify right side
    252,122.78x = 47,806,021,277.07
  5. Step 5: Solve for x
    x = 47,806,021,277.07/252,122.78
  6. Step 6: Final answer
    x = 189,614.05

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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.