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Finding the Fourth Proportional to 201,823.50, 278,525.08 and 112,399.50

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Solution

The fourth proportional to 201,823.50, 278,525.08 and 112,399.50 is: 155,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,823.50 : 278,525.08 = 112,399.50 : x
  2. Step 2: Convert to fraction form
    201,823.50/278,525.08 = 112,399.50/x
  3. Step 3: Cross multiply
    201,823.50x = 278,525.08 × 112,399.50
  4. Step 4: Simplify right side
    201,823.50x = 31,306,079,729.46
  5. Step 5: Solve for x
    x = 31,306,079,729.46/201,823.50
  6. Step 6: Final answer
    x = 155,116.13

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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.