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Finding the Fourth Proportional to 233,125.63, 321,713.84 and 137,638.46

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Solution

The fourth proportional to 233,125.63, 321,713.84 and 137,638.46 is: 189,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,125.63 : 321,713.84 = 137,638.46 : x
  2. Step 2: Convert to fraction form
    233,125.63/321,713.84 = 137,638.46/x
  3. Step 3: Cross multiply
    233,125.63x = 321,713.84 × 137,638.46
  4. Step 4: Simplify right side
    233,125.63x = 44,280,198,646.67
  5. Step 5: Solve for x
    x = 44,280,198,646.67/233,125.63
  6. Step 6: Final answer
    x = 189,941.36

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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.