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Finding the Fourth Proportional to 202,043.98, 278,718.27 and 154,214.29

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Solution

The fourth proportional to 202,043.98, 278,718.27 and 154,214.29 is: 212,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,043.98 : 278,718.27 = 154,214.29 : x
  2. Step 2: Convert to fraction form
    202,043.98/278,718.27 = 154,214.29/x
  3. Step 3: Cross multiply
    202,043.98x = 278,718.27 × 154,214.29
  4. Step 4: Simplify right side
    202,043.98x = 42,982,340,118.08
  5. Step 5: Solve for x
    x = 42,982,340,118.08/202,043.98
  6. Step 6: Final answer
    x = 212,737.54

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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.