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Finding the Fourth Proportional to 191,770.46, 287,738.73 and 102,920.17

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Solution

The fourth proportional to 191,770.46, 287,738.73 and 102,920.17 is: 154,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,770.46 : 287,738.73 = 102,920.17 : x
  2. Step 2: Convert to fraction form
    191,770.46/287,738.73 = 102,920.17/x
  3. Step 3: Cross multiply
    191,770.46x = 287,738.73 × 102,920.17
  4. Step 4: Simplify right side
    191,770.46x = 29,614,118,287.84
  5. Step 5: Solve for x
    x = 29,614,118,287.84/191,770.46
  6. Step 6: Final answer
    x = 154,424.82

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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.