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Finding the Fourth Proportional to 199,818.96, 275,746.95 and 109,172.98

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Solution

The fourth proportional to 199,818.96, 275,746.95 and 109,172.98 is: 150,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,818.96 : 275,746.95 = 109,172.98 : x
  2. Step 2: Convert to fraction form
    199,818.96/275,746.95 = 109,172.98/x
  3. Step 3: Cross multiply
    199,818.96x = 275,746.95 × 109,172.98
  4. Step 4: Simplify right side
    199,818.96x = 30,104,117,414.04
  5. Step 5: Solve for x
    x = 30,104,117,414.04/199,818.96
  6. Step 6: Final answer
    x = 150,656.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.