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Finding the Fourth Proportional to 201,989.18, 302,991.42 and 75,616.13

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Solution

The fourth proportional to 201,989.18, 302,991.42 and 75,616.13 is: 113,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,989.18 : 302,991.42 = 75,616.13 : x
  2. Step 2: Convert to fraction form
    201,989.18/302,991.42 = 75,616.13/x
  3. Step 3: Cross multiply
    201,989.18x = 302,991.42 × 75,616.13
  4. Step 4: Simplify right side
    201,989.18x = 22,911,037,088.65
  5. Step 5: Solve for x
    x = 22,911,037,088.65/201,989.18
  6. Step 6: Final answer
    x = 113,427.05

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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.