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Finding the Fourth Proportional to 210,081.84, 290,019.96 and 162,227.76

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Solution

The fourth proportional to 210,081.84, 290,019.96 and 162,227.76 is: 223,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,081.84 : 290,019.96 = 162,227.76 : x
  2. Step 2: Convert to fraction form
    210,081.84/290,019.96 = 162,227.76/x
  3. Step 3: Cross multiply
    210,081.84x = 290,019.96 × 162,227.76
  4. Step 4: Simplify right side
    210,081.84x = 47,049,288,466.09
  5. Step 5: Solve for x
    x = 47,049,288,466.09/210,081.84
  6. Step 6: Final answer
    x = 223,956.95

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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.