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Finding the Fourth Proportional to 77,138.92, 106,450.95 and 43,147.02

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Solution

The fourth proportional to 77,138.92, 106,450.95 and 43,147.02 is: 59,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138.92 : 106,450.95 = 43,147.02 : x
  2. Step 2: Convert to fraction form
    77,138.92/106,450.95 = 43,147.02/x
  3. Step 3: Cross multiply
    77,138.92x = 106,450.95 × 43,147.02
  4. Step 4: Simplify right side
    77,138.92x = 4,593,041,268.67
  5. Step 5: Solve for x
    x = 4,593,041,268.67/77,138.92
  6. Step 6: Final answer
    x = 59,542.46

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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.