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Finding the Fourth Proportional to 201,642.12, 302,508.18 and 61,411.56

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Solution

The fourth proportional to 201,642.12, 302,508.18 and 61,411.56 is: 92,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.12 : 302,508.18 = 61,411.56 : x
  2. Step 2: Convert to fraction form
    201,642.12/302,508.18 = 61,411.56/x
  3. Step 3: Cross multiply
    201,642.12x = 302,508.18 × 61,411.56
  4. Step 4: Simplify right side
    201,642.12x = 18,577,499,246.56
  5. Step 5: Solve for x
    x = 18,577,499,246.56/201,642.12
  6. Step 6: Final answer
    x = 92,131.05

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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.