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Finding the Fourth Proportional to 203,098.58, 280,291.81 and 112,462.98

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Solution

The fourth proportional to 203,098.58, 280,291.81 and 112,462.98 is: 155,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,098.58 : 280,291.81 = 112,462.98 : x
  2. Step 2: Convert to fraction form
    203,098.58/280,291.81 = 112,462.98/x
  3. Step 3: Cross multiply
    203,098.58x = 280,291.81 × 112,462.98
  4. Step 4: Simplify right side
    203,098.58x = 31,522,452,222.19
  5. Step 5: Solve for x
    x = 31,522,452,222.19/203,098.58
  6. Step 6: Final answer
    x = 155,207.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.