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Finding the Fourth Proportional to 135,209, 202,814.30 and 36,713

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Solution

The fourth proportional to 135,209, 202,814.30 and 36,713 is: 55,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,209 : 202,814.30 = 36,713 : x
  2. Step 2: Convert to fraction form
    135,209/202,814.30 = 36,713/x
  3. Step 3: Cross multiply
    135,209x = 202,814.30 × 36,713
  4. Step 4: Simplify right side
    135,209x = 7,445,921,395.90
  5. Step 5: Solve for x
    x = 7,445,921,395.90/135,209
  6. Step 6: Final answer
    x = 55,069.72

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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.