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Finding the Fourth Proportional to 249,020.28, 343,647.66 and 135,843

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Solution

The fourth proportional to 249,020.28, 343,647.66 and 135,843 is: 187,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,020.28 : 343,647.66 = 135,843 : x
  2. Step 2: Convert to fraction form
    249,020.28/343,647.66 = 135,843/x
  3. Step 3: Cross multiply
    249,020.28x = 343,647.66 × 135,843
  4. Step 4: Simplify right side
    249,020.28x = 46,682,129,077.38
  5. Step 5: Solve for x
    x = 46,682,129,077.38/249,020.28
  6. Step 6: Final answer
    x = 187,463.16

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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.