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Finding the Fourth Proportional to 72,993.60, 109,391.12 and 30,838.80

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Solution

The fourth proportional to 72,993.60, 109,391.12 and 30,838.80 is: 46,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,993.60 : 109,391.12 = 30,838.80 : x
  2. Step 2: Convert to fraction form
    72,993.60/109,391.12 = 30,838.80/x
  3. Step 3: Cross multiply
    72,993.60x = 109,391.12 × 30,838.80
  4. Step 4: Simplify right side
    72,993.60x = 3,373,490,871.46
  5. Step 5: Solve for x
    x = 3,373,490,871.46/72,993.60
  6. Step 6: Final answer
    x = 46,216.26

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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.