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Finding the Fourth Proportional to 200,543.74, 276,750.12 and 109,905.40

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Solution

The fourth proportional to 200,543.74, 276,750.12 and 109,905.40 is: 151,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,543.74 : 276,750.12 = 109,905.40 : x
  2. Step 2: Convert to fraction form
    200,543.74/276,750.12 = 109,905.40/x
  3. Step 3: Cross multiply
    200,543.74x = 276,750.12 × 109,905.40
  4. Step 4: Simplify right side
    200,543.74x = 30,416,332,638.65
  5. Step 5: Solve for x
    x = 30,416,332,638.65/200,543.74
  6. Step 6: Final answer
    x = 151,669.32

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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.