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Finding the Fourth Proportional to 191,272, 286,942.20 and 78,889.72

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Solution

The fourth proportional to 191,272, 286,942.20 and 78,889.72 is: 118,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,272 : 286,942.20 = 78,889.72 : x
  2. Step 2: Convert to fraction form
    191,272/286,942.20 = 78,889.72/x
  3. Step 3: Cross multiply
    191,272x = 286,942.20 × 78,889.72
  4. Step 4: Simplify right side
    191,272x = 22,636,789,814.18
  5. Step 5: Solve for x
    x = 22,636,789,814.18/191,272
  6. Step 6: Final answer
    x = 118,348.69

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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.