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Finding the Fourth Proportional to 85,140.80, 127,538.40 and 48,161.60

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Solution

The fourth proportional to 85,140.80, 127,538.40 and 48,161.60 is: 72,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,140.80 : 127,538.40 = 48,161.60 : x
  2. Step 2: Convert to fraction form
    85,140.80/127,538.40 = 48,161.60/x
  3. Step 3: Cross multiply
    85,140.80x = 127,538.40 × 48,161.60
  4. Step 4: Simplify right side
    85,140.80x = 6,142,453,405.44
  5. Step 5: Solve for x
    x = 6,142,453,405.44/85,140.80
  6. Step 6: Final answer
    x = 72,144.65

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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.