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Finding the Fourth Proportional to 90,228, 135,341.38 and 70,523.13

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Solution

The fourth proportional to 90,228, 135,341.38 and 70,523.13 is: 105,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,228 : 135,341.38 = 70,523.13 : x
  2. Step 2: Convert to fraction form
    90,228/135,341.38 = 70,523.13/x
  3. Step 3: Cross multiply
    90,228x = 135,341.38 × 70,523.13
  4. Step 4: Simplify right side
    90,228x = 9,544,697,736.12
  5. Step 5: Solve for x
    x = 9,544,697,736.12/90,228
  6. Step 6: Final answer
    x = 105,784.21

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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.