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Finding the Fourth Proportional to 135,210, 202,815.80 and 36,714

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Solution

The fourth proportional to 135,210, 202,815.80 and 36,714 is: 55,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,210 : 202,815.80 = 36,714 : x
  2. Step 2: Convert to fraction form
    135,210/202,815.80 = 36,714/x
  3. Step 3: Cross multiply
    135,210x = 202,815.80 × 36,714
  4. Step 4: Simplify right side
    135,210x = 7,446,179,281.20
  5. Step 5: Solve for x
    x = 7,446,179,281.20/135,210
  6. Step 6: Final answer
    x = 55,071.22

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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.