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Finding the Fourth Proportional to 191,943.80, 288,045.30 and 107,703.80

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Solution

The fourth proportional to 191,943.80, 288,045.30 and 107,703.80 is: 161,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,943.80 : 288,045.30 = 107,703.80 : x
  2. Step 2: Convert to fraction form
    191,943.80/288,045.30 = 107,703.80/x
  3. Step 3: Cross multiply
    191,943.80x = 288,045.30 × 107,703.80
  4. Step 4: Simplify right side
    191,943.80x = 31,023,573,382.14
  5. Step 5: Solve for x
    x = 31,023,573,382.14/191,943.80
  6. Step 6: Final answer
    x = 161,628.42

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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.