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Finding the Fourth Proportional to 77,073.60, 106,353 and 43,539.60

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Solution

The fourth proportional to 77,073.60, 106,353 and 43,539.60 is: 60,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.60 : 106,353 = 43,539.60 : x
  2. Step 2: Convert to fraction form
    77,073.60/106,353 = 43,539.60/x
  3. Step 3: Cross multiply
    77,073.60x = 106,353 × 43,539.60
  4. Step 4: Simplify right side
    77,073.60x = 4,630,567,078.80
  5. Step 5: Solve for x
    x = 4,630,567,078.80/77,073.60
  6. Step 6: Final answer
    x = 60,079.81

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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.