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Finding the Fourth Proportional to 201,759.78, 278,461.78 and 153,922.80

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Solution

The fourth proportional to 201,759.78, 278,461.78 and 153,922.80 is: 212,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,759.78 : 278,461.78 = 153,922.80 : x
  2. Step 2: Convert to fraction form
    201,759.78/278,461.78 = 153,922.80/x
  3. Step 3: Cross multiply
    201,759.78x = 278,461.78 × 153,922.80
  4. Step 4: Simplify right side
    201,759.78x = 42,861,616,870.58
  5. Step 5: Solve for x
    x = 42,861,616,870.58/201,759.78
  6. Step 6: Final answer
    x = 212,438.86

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1.5x scale

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.