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Finding the Fourth Proportional to 228,242.11, 342,296.25 and 85,984.75

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Solution

The fourth proportional to 228,242.11, 342,296.25 and 85,984.75 is: 128,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,242.11 : 342,296.25 = 85,984.75 : x
  2. Step 2: Convert to fraction form
    228,242.11/342,296.25 = 85,984.75/x
  3. Step 3: Cross multiply
    228,242.11x = 342,296.25 × 85,984.75
  4. Step 4: Simplify right side
    228,242.11x = 29,432,257,482.19
  5. Step 5: Solve for x
    x = 29,432,257,482.19/228,242.11
  6. Step 6: Final answer
    x = 128,951.92

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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.