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Finding the Fourth Proportional to 208,542.77, 312,857.90 and 90,230.93

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Solution

The fourth proportional to 208,542.77, 312,857.90 and 90,230.93 is: 135,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,542.77 : 312,857.90 = 90,230.93 : x
  2. Step 2: Convert to fraction form
    208,542.77/312,857.90 = 90,230.93/x
  3. Step 3: Cross multiply
    208,542.77x = 312,857.90 × 90,230.93
  4. Step 4: Simplify right side
    208,542.77x = 28,229,459,274.85
  5. Step 5: Solve for x
    x = 28,229,459,274.85/208,542.77
  6. Step 6: Final answer
    x = 135,365.32

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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.