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Finding the Fourth Proportional to 162,121.68, 223,618.68 and 140,864.40

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Solution

The fourth proportional to 162,121.68, 223,618.68 and 140,864.40 is: 194,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,121.68 : 223,618.68 = 140,864.40 : x
  2. Step 2: Convert to fraction form
    162,121.68/223,618.68 = 140,864.40/x
  3. Step 3: Cross multiply
    162,121.68x = 223,618.68 × 140,864.40
  4. Step 4: Simplify right side
    162,121.68x = 31,499,911,186.99
  5. Step 5: Solve for x
    x = 31,499,911,186.99/162,121.68
  6. Step 6: Final answer
    x = 194,297.96

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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.