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Finding the Fourth Proportional to 201,990.35, 278,746.61 and 111,347.80

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Solution

The fourth proportional to 201,990.35, 278,746.61 and 111,347.80 is: 153,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,990.35 : 278,746.61 = 111,347.80 : x
  2. Step 2: Convert to fraction form
    201,990.35/278,746.61 = 111,347.80/x
  3. Step 3: Cross multiply
    201,990.35x = 278,746.61 × 111,347.80
  4. Step 4: Simplify right side
    201,990.35x = 31,037,820,527.35
  5. Step 5: Solve for x
    x = 31,037,820,527.35/201,990.35
  6. Step 6: Final answer
    x = 153,659.92

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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.