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Finding the Fourth Proportional to 103,618, 155,431.05 and 32,589.10

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Solution

The fourth proportional to 103,618, 155,431.05 and 32,589.10 is: 48,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,618 : 155,431.05 = 32,589.10 : x
  2. Step 2: Convert to fraction form
    103,618/155,431.05 = 32,589.10/x
  3. Step 3: Cross multiply
    103,618x = 155,431.05 × 32,589.10
  4. Step 4: Simplify right side
    103,618x = 5,065,358,031.56
  5. Step 5: Solve for x
    x = 5,065,358,031.56/103,618
  6. Step 6: Final answer
    x = 48,884.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.