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Finding the Fourth Proportional to 191,190.24, 286,866 and 102,420

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Solution

The fourth proportional to 191,190.24, 286,866 and 102,420 is: 153,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,190.24 : 286,866 = 102,420 : x
  2. Step 2: Convert to fraction form
    191,190.24/286,866 = 102,420/x
  3. Step 3: Cross multiply
    191,190.24x = 286,866 × 102,420
  4. Step 4: Simplify right side
    191,190.24x = 29,380,815,720
  5. Step 5: Solve for x
    x = 29,380,815,720/191,190.24
  6. Step 6: Final answer
    x = 153,673.20

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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.