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Finding the Fourth Proportional to 199,464.90, 275,363.19 and 154,040.91

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Solution

The fourth proportional to 199,464.90, 275,363.19 and 154,040.91 is: 212,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,464.90 : 275,363.19 = 154,040.91 : x
  2. Step 2: Convert to fraction form
    199,464.90/275,363.19 = 154,040.91/x
  3. Step 3: Cross multiply
    199,464.90x = 275,363.19 × 154,040.91
  4. Step 4: Simplify right side
    199,464.90x = 42,417,196,368.10
  5. Step 5: Solve for x
    x = 42,417,196,368.10/199,464.90
  6. Step 6: Final answer
    x = 212,654.94

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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.