Home / 205,931.08-284,190.32-115,286.64

Finding the Fourth Proportional to 205,931.08, 284,190.32 and 115,286.64

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Solution

The fourth proportional to 205,931.08, 284,190.32 and 115,286.64 is: 159,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,931.08 : 284,190.32 = 115,286.64 : x
  2. Step 2: Convert to fraction form
    205,931.08/284,190.32 = 115,286.64/x
  3. Step 3: Cross multiply
    205,931.08x = 284,190.32 × 115,286.64
  4. Step 4: Simplify right side
    205,931.08x = 32,763,347,113.32
  5. Step 5: Solve for x
    x = 32,763,347,113.32/205,931.08
  6. Step 6: Final answer
    x = 159,098.60

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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.