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Finding the Fourth Proportional to 191,842.70, 287,764.05 and 180,956.30

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Solution

The fourth proportional to 191,842.70, 287,764.05 and 180,956.30 is: 271,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,842.70 : 287,764.05 = 180,956.30 : x
  2. Step 2: Convert to fraction form
    191,842.70/287,764.05 = 180,956.30/x
  3. Step 3: Cross multiply
    191,842.70x = 287,764.05 × 180,956.30
  4. Step 4: Simplify right side
    191,842.70x = 52,072,717,761.02
  5. Step 5: Solve for x
    x = 52,072,717,761.02/191,842.70
  6. Step 6: Final answer
    x = 271,434.45

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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.