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Finding the Fourth Proportional to 185,612.94, 278,024.13 and 90,697.14

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Solution

The fourth proportional to 185,612.94, 278,024.13 and 90,697.14 is: 135,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,612.94 : 278,024.13 = 90,697.14 : x
  2. Step 2: Convert to fraction form
    185,612.94/278,024.13 = 90,697.14/x
  3. Step 3: Cross multiply
    185,612.94x = 278,024.13 × 90,697.14
  4. Step 4: Simplify right side
    185,612.94x = 25,215,993,441.99
  5. Step 5: Solve for x
    x = 25,215,993,441.99/185,612.94
  6. Step 6: Final answer
    x = 135,852.56

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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.