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Finding the Fourth Proportional to 191,902.90, 287,851.65 and 86,721.70

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Solution

The fourth proportional to 191,902.90, 287,851.65 and 86,721.70 is: 130,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,902.90 : 287,851.65 = 86,721.70 : x
  2. Step 2: Convert to fraction form
    191,902.90/287,851.65 = 86,721.70/x
  3. Step 3: Cross multiply
    191,902.90x = 287,851.65 × 86,721.70
  4. Step 4: Simplify right side
    191,902.90x = 24,962,984,435.81
  5. Step 5: Solve for x
    x = 24,962,984,435.81/191,902.90
  6. Step 6: Final answer
    x = 130,081.33

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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.