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Finding the Fourth Proportional to 249,042.75, 343,682.81 and 135,865.50

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Solution

The fourth proportional to 249,042.75, 343,682.81 and 135,865.50 is: 187,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,042.75 : 343,682.81 = 135,865.50 : x
  2. Step 2: Convert to fraction form
    249,042.75/343,682.81 = 135,865.50/x
  3. Step 3: Cross multiply
    249,042.75x = 343,682.81 × 135,865.50
  4. Step 4: Simplify right side
    249,042.75x = 46,694,636,822.06
  5. Step 5: Solve for x
    x = 46,694,636,822.06/249,042.75
  6. Step 6: Final answer
    x = 187,496.47

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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.