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Finding the Fourth Proportional to 103,073.76, 142,209.46 and 57,745.60

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Solution

The fourth proportional to 103,073.76, 142,209.46 and 57,745.60 is: 79,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,073.76 : 142,209.46 = 57,745.60 : x
  2. Step 2: Convert to fraction form
    103,073.76/142,209.46 = 57,745.60/x
  3. Step 3: Cross multiply
    103,073.76x = 142,209.46 × 57,745.60
  4. Step 4: Simplify right side
    103,073.76x = 8,211,970,593.38
  5. Step 5: Solve for x
    x = 8,211,970,593.38/103,073.76
  6. Step 6: Final answer
    x = 79,670.82

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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.