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Finding the Fourth Proportional to 212,898.38, 293,804.01 and 137,578.10

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Solution

The fourth proportional to 212,898.38, 293,804.01 and 137,578.10 is: 189,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,898.38 : 293,804.01 = 137,578.10 : x
  2. Step 2: Convert to fraction form
    212,898.38/293,804.01 = 137,578.10/x
  3. Step 3: Cross multiply
    212,898.38x = 293,804.01 × 137,578.10
  4. Step 4: Simplify right side
    212,898.38x = 40,420,995,999.16
  5. Step 5: Solve for x
    x = 40,420,995,999.16/212,898.38
  6. Step 6: Final answer
    x = 189,860.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.