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Finding the Fourth Proportional to 191,958.20, 287,807.70 and 102,015.80

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Solution

The fourth proportional to 191,958.20, 287,807.70 and 102,015.80 is: 152,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,958.20 : 287,807.70 = 102,015.80 : x
  2. Step 2: Convert to fraction form
    191,958.20/287,807.70 = 102,015.80/x
  3. Step 3: Cross multiply
    191,958.20x = 287,807.70 × 102,015.80
  4. Step 4: Simplify right side
    191,958.20x = 29,360,932,761.66
  5. Step 5: Solve for x
    x = 29,360,932,761.66/191,958.20
  6. Step 6: Final answer
    x = 152,954.82

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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.