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Finding the Fourth Proportional to 85,222.80, 127,891.80 and 47,782.80

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Solution

The fourth proportional to 85,222.80, 127,891.80 and 47,782.80 is: 71,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,222.80 : 127,891.80 = 47,782.80 : x
  2. Step 2: Convert to fraction form
    85,222.80/127,891.80 = 47,782.80/x
  3. Step 3: Cross multiply
    85,222.80x = 127,891.80 × 47,782.80
  4. Step 4: Simplify right side
    85,222.80x = 6,111,028,301.04
  5. Step 5: Solve for x
    x = 6,111,028,301.04/85,222.80
  6. Step 6: Final answer
    x = 71,706.50

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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.