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Finding the Fourth Proportional to 202,045.98, 278,721.03 and 154,216.29

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Solution

The fourth proportional to 202,045.98, 278,721.03 and 154,216.29 is: 212,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,045.98 : 278,721.03 = 154,216.29 : x
  2. Step 2: Convert to fraction form
    202,045.98/278,721.03 = 154,216.29/x
  3. Step 3: Cross multiply
    202,045.98x = 278,721.03 × 154,216.29
  4. Step 4: Simplify right side
    202,045.98x = 42,983,323,191.58
  5. Step 5: Solve for x
    x = 42,983,323,191.58/202,045.98
  6. Step 6: Final answer
    x = 212,740.30

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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.