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Finding the Fourth Proportional to 220,981.68, 304,956.72 and 120,379.68

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Solution

The fourth proportional to 220,981.68, 304,956.72 and 120,379.68 is: 166,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,981.68 : 304,956.72 = 120,379.68 : x
  2. Step 2: Convert to fraction form
    220,981.68/304,956.72 = 120,379.68/x
  3. Step 3: Cross multiply
    220,981.68x = 304,956.72 × 120,379.68
  4. Step 4: Simplify right side
    220,981.68x = 36,710,592,367.45
  5. Step 5: Solve for x
    x = 36,710,592,367.45/220,981.68
  6. Step 6: Final answer
    x = 166,125.05

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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.