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Finding the Fourth Proportional to 249,855.26, 344,805.78 and 136,678

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Solution

The fourth proportional to 249,855.26, 344,805.78 and 136,678 is: 188,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,855.26 : 344,805.78 = 136,678 : x
  2. Step 2: Convert to fraction form
    249,855.26/344,805.78 = 136,678/x
  3. Step 3: Cross multiply
    249,855.26x = 344,805.78 × 136,678
  4. Step 4: Simplify right side
    249,855.26x = 47,127,364,398.84
  5. Step 5: Solve for x
    x = 47,127,364,398.84/249,855.26
  6. Step 6: Final answer
    x = 188,618.66

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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.