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Finding the Fourth Proportional to 208,716.16, 312,834.24 and 90,268.48

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Solution

The fourth proportional to 208,716.16, 312,834.24 and 90,268.48 is: 135,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,716.16 : 312,834.24 = 90,268.48 : x
  2. Step 2: Convert to fraction form
    208,716.16/312,834.24 = 90,268.48/x
  3. Step 3: Cross multiply
    208,716.16x = 312,834.24 × 90,268.48
  4. Step 4: Simplify right side
    208,716.16x = 28,239,071,336.76
  5. Step 5: Solve for x
    x = 28,239,071,336.76/208,716.16
  6. Step 6: Final answer
    x = 135,298.92

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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.