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Finding the Fourth Proportional to 166,492, 249,738 and 49,756

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Solution

The fourth proportional to 166,492, 249,738 and 49,756 is: 74,634

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,492 : 249,738 = 49,756 : x
  2. Step 2: Convert to fraction form
    166,492/249,738 = 49,756/x
  3. Step 3: Cross multiply
    166,492x = 249,738 × 49,756
  4. Step 4: Simplify right side
    166,492x = 12,425,963,928
  5. Step 5: Solve for x
    x = 12,425,963,928/166,492
  6. Step 6: Final answer
    x = 74,634

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.