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Finding the Fourth Proportional to 232,638.30, 321,043.77 and 137,139.30

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Solution

The fourth proportional to 232,638.30, 321,043.77 and 137,139.30 is: 189,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,638.30 : 321,043.77 = 137,139.30 : x
  2. Step 2: Convert to fraction form
    232,638.30/321,043.77 = 137,139.30/x
  3. Step 3: Cross multiply
    232,638.30x = 321,043.77 × 137,139.30
  4. Step 4: Simplify right side
    232,638.30x = 44,027,717,887.16
  5. Step 5: Solve for x
    x = 44,027,717,887.16/232,638.30
  6. Step 6: Final answer
    x = 189,253.95

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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.