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Finding the Fourth Proportional to 208,540.77, 312,854.90 and 90,228.93

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Solution

The fourth proportional to 208,540.77, 312,854.90 and 90,228.93 is: 135,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,540.77 : 312,854.90 = 90,228.93 : x
  2. Step 2: Convert to fraction form
    208,540.77/312,854.90 = 90,228.93/x
  3. Step 3: Cross multiply
    208,540.77x = 312,854.90 × 90,228.93
  4. Step 4: Simplify right side
    208,540.77x = 28,228,562,872.26
  5. Step 5: Solve for x
    x = 28,228,562,872.26/208,540.77
  6. Step 6: Final answer
    x = 135,362.32

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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.