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Finding the Fourth Proportional to 191,214.66, 286,780.98 and 78,865.73

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Solution

The fourth proportional to 191,214.66, 286,780.98 and 78,865.73 is: 118,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,214.66 : 286,780.98 = 78,865.73 : x
  2. Step 2: Convert to fraction form
    191,214.66/286,780.98 = 78,865.73/x
  3. Step 3: Cross multiply
    191,214.66x = 286,780.98 × 78,865.73
  4. Step 4: Simplify right side
    191,214.66x = 22,617,191,660.44
  5. Step 5: Solve for x
    x = 22,617,191,660.44/191,214.66
  6. Step 6: Final answer
    x = 118,281.69

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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.