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Finding the Fourth Proportional to 252,125.40, 347,946 and 138,948.12

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Solution

The fourth proportional to 252,125.40, 347,946 and 138,948.12 is: 191,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,125.40 : 347,946 = 138,948.12 : x
  2. Step 2: Convert to fraction form
    252,125.40/347,946 = 138,948.12/x
  3. Step 3: Cross multiply
    252,125.40x = 347,946 × 138,948.12
  4. Step 4: Simplify right side
    252,125.40x = 48,346,442,561.52
  5. Step 5: Solve for x
    x = 48,346,442,561.52/252,125.40
  6. Step 6: Final answer
    x = 191,755.54

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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.