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Finding the Fourth Proportional to 492,072.90, 738,109.35 and 137,141.70

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Solution

The fourth proportional to 492,072.90, 738,109.35 and 137,141.70 is: 205,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,072.90 : 738,109.35 = 137,141.70 : x
  2. Step 2: Convert to fraction form
    492,072.90/738,109.35 = 137,141.70/x
  3. Step 3: Cross multiply
    492,072.90x = 738,109.35 × 137,141.70
  4. Step 4: Simplify right side
    492,072.90x = 101,225,571,044.90
  5. Step 5: Solve for x
    x = 101,225,571,044.90/492,072.90
  6. Step 6: Final answer
    x = 205,712.55

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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.