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Finding the Fourth Proportional to 233,894.10, 322,856.79 and 138,400.56

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Solution

The fourth proportional to 233,894.10, 322,856.79 and 138,400.56 is: 191,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894.10 : 322,856.79 = 138,400.56 : x
  2. Step 2: Convert to fraction form
    233,894.10/322,856.79 = 138,400.56/x
  3. Step 3: Cross multiply
    233,894.10x = 322,856.79 × 138,400.56
  4. Step 4: Simplify right side
    233,894.10x = 44,683,560,535.80
  5. Step 5: Solve for x
    x = 44,683,560,535.80/233,894.10
  6. Step 6: Final answer
    x = 191,041.85

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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.