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Finding the Fourth Proportional to 150,980.78, 208,356.13 and 83,000.62

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Solution

The fourth proportional to 150,980.78, 208,356.13 and 83,000.62 is: 114,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,980.78 : 208,356.13 = 83,000.62 : x
  2. Step 2: Convert to fraction form
    150,980.78/208,356.13 = 83,000.62/x
  3. Step 3: Cross multiply
    150,980.78x = 208,356.13 × 83,000.62
  4. Step 4: Simplify right side
    150,980.78x = 17,293,687,970.80
  5. Step 5: Solve for x
    x = 17,293,687,970.80/150,980.78
  6. Step 6: Final answer
    x = 114,542.31

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1.5x scale

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.