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Finding the Fourth Proportional to 191,403, 287,106.93 and 66,744

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Solution

The fourth proportional to 191,403, 287,106.93 and 66,744 is: 100,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,403 : 287,106.93 = 66,744 : x
  2. Step 2: Convert to fraction form
    191,403/287,106.93 = 66,744/x
  3. Step 3: Cross multiply
    191,403x = 287,106.93 × 66,744
  4. Step 4: Simplify right side
    191,403x = 19,162,664,935.92
  5. Step 5: Solve for x
    x = 19,162,664,935.92/191,403
  6. Step 6: Final answer
    x = 100,116.85

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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.