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Finding the Fourth Proportional to 201,012.80, 301,519.20 and 106,534.40

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Solution

The fourth proportional to 201,012.80, 301,519.20 and 106,534.40 is: 159,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,012.80 : 301,519.20 = 106,534.40 : x
  2. Step 2: Convert to fraction form
    201,012.80/301,519.20 = 106,534.40/x
  3. Step 3: Cross multiply
    201,012.80x = 301,519.20 × 106,534.40
  4. Step 4: Simplify right side
    201,012.80x = 32,122,167,060.48
  5. Step 5: Solve for x
    x = 32,122,167,060.48/201,012.80
  6. Step 6: Final answer
    x = 159,801.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.