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Finding the Fourth Proportional to 159,897.42, 220,654.92 and 87,297.84

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Solution

The fourth proportional to 159,897.42, 220,654.92 and 87,297.84 is: 120,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,897.42 : 220,654.92 = 87,297.84 : x
  2. Step 2: Convert to fraction form
    159,897.42/220,654.92 = 87,297.84/x
  3. Step 3: Cross multiply
    159,897.42x = 220,654.92 × 87,297.84
  4. Step 4: Simplify right side
    159,897.42x = 19,262,697,901.37
  5. Step 5: Solve for x
    x = 19,262,697,901.37/159,897.42
  6. Step 6: Final answer
    x = 120,469.10

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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.