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Finding the Fourth Proportional to 191,512, 287,268 and 51,267.16

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Solution

The fourth proportional to 191,512, 287,268 and 51,267.16 is: 76,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,512 : 287,268 = 51,267.16 : x
  2. Step 2: Convert to fraction form
    191,512/287,268 = 51,267.16/x
  3. Step 3: Cross multiply
    191,512x = 287,268 × 51,267.16
  4. Step 4: Simplify right side
    191,512x = 14,727,414,518.88
  5. Step 5: Solve for x
    x = 14,727,414,518.88/191,512
  6. Step 6: Final answer
    x = 76,900.74

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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.