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Finding the Fourth Proportional to 213,077.90, 319,616.85 and 133,762.70

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Solution

The fourth proportional to 213,077.90, 319,616.85 and 133,762.70 is: 200,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,077.90 : 319,616.85 = 133,762.70 : x
  2. Step 2: Convert to fraction form
    213,077.90/319,616.85 = 133,762.70/x
  3. Step 3: Cross multiply
    213,077.90x = 319,616.85 × 133,762.70
  4. Step 4: Simplify right side
    213,077.90x = 42,752,812,821.50
  5. Step 5: Solve for x
    x = 42,752,812,821.50/213,077.90
  6. Step 6: Final answer
    x = 200,644.05

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1.5x scale

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.