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Finding the Fourth Proportional to 191,274, 286,945.20 and 78,891.72

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Solution

The fourth proportional to 191,274, 286,945.20 and 78,891.72 is: 118,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,274 : 286,945.20 = 78,891.72 : x
  2. Step 2: Convert to fraction form
    191,274/286,945.20 = 78,891.72/x
  3. Step 3: Cross multiply
    191,274x = 286,945.20 × 78,891.72
  4. Step 4: Simplify right side
    191,274x = 22,637,600,373.74
  5. Step 5: Solve for x
    x = 22,637,600,373.74/191,274
  6. Step 6: Final answer
    x = 118,351.69

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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.