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Finding the Fourth Proportional to 249,963.28, 344,949.30 and 136,786

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Solution

The fourth proportional to 249,963.28, 344,949.30 and 136,786 is: 188,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,963.28 : 344,949.30 = 136,786 : x
  2. Step 2: Convert to fraction form
    249,963.28/344,949.30 = 136,786/x
  3. Step 3: Cross multiply
    249,963.28x = 344,949.30 × 136,786
  4. Step 4: Simplify right side
    249,963.28x = 47,184,234,949.80
  5. Step 5: Solve for x
    x = 47,184,234,949.80/249,963.28
  6. Step 6: Final answer
    x = 188,764.67

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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.