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Finding the Fourth Proportional to 191,546.50, 287,122.61 and 84,980.64

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Solution

The fourth proportional to 191,546.50, 287,122.61 and 84,980.64 is: 127,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,546.50 : 287,122.61 = 84,980.64 : x
  2. Step 2: Convert to fraction form
    191,546.50/287,122.61 = 84,980.64/x
  3. Step 3: Cross multiply
    191,546.50x = 287,122.61 × 84,980.64
  4. Step 4: Simplify right side
    191,546.50x = 24,399,864,232.98
  5. Step 5: Solve for x
    x = 24,399,864,232.98/191,546.50
  6. Step 6: Final answer
    x = 127,383.50

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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.