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Finding the Fourth Proportional to 191,214.91, 286,781.35 and 78,865.98

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Solution

The fourth proportional to 191,214.91, 286,781.35 and 78,865.98 is: 118,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,214.91 : 286,781.35 = 78,865.98 : x
  2. Step 2: Convert to fraction form
    191,214.91/286,781.35 = 78,865.98/x
  3. Step 3: Cross multiply
    191,214.91x = 286,781.35 × 78,865.98
  4. Step 4: Simplify right side
    191,214.91x = 22,617,292,213.47
  5. Step 5: Solve for x
    x = 22,617,292,213.47/191,214.91
  6. Step 6: Final answer
    x = 118,282.06

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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.