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Finding the Fourth Proportional to 150,820.13, 208,081.12 and 85,400.03

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Solution

The fourth proportional to 150,820.13, 208,081.12 and 85,400.03 is: 117,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,820.13 : 208,081.12 = 85,400.03 : x
  2. Step 2: Convert to fraction form
    150,820.13/208,081.12 = 85,400.03/x
  3. Step 3: Cross multiply
    150,820.13x = 208,081.12 × 85,400.03
  4. Step 4: Simplify right side
    150,820.13x = 17,770,133,463.43
  5. Step 5: Solve for x
    x = 17,770,133,463.43/150,820.13
  6. Step 6: Final answer
    x = 117,823.36

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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.