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Finding the Fourth Proportional to 208,643.16, 313,019.34 and 90,286.76

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Solution

The fourth proportional to 208,643.16, 313,019.34 and 90,286.76 is: 135,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,643.16 : 313,019.34 = 90,286.76 : x
  2. Step 2: Convert to fraction form
    208,643.16/313,019.34 = 90,286.76/x
  3. Step 3: Cross multiply
    208,643.16x = 313,019.34 × 90,286.76
  4. Step 4: Simplify right side
    208,643.16x = 28,261,502,025.94
  5. Step 5: Solve for x
    x = 28,261,502,025.94/208,643.16
  6. Step 6: Final answer
    x = 135,453.77

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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.