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Finding the Fourth Proportional to 72,797.76, 109,222.93 and 25,419.84

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Solution

The fourth proportional to 72,797.76, 109,222.93 and 25,419.84 is: 38,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,797.76 : 109,222.93 = 25,419.84 : x
  2. Step 2: Convert to fraction form
    72,797.76/109,222.93 = 25,419.84/x
  3. Step 3: Cross multiply
    72,797.76x = 109,222.93 × 25,419.84
  4. Step 4: Simplify right side
    72,797.76x = 2,776,429,277.83
  5. Step 5: Solve for x
    x = 2,776,429,277.83/72,797.76
  6. Step 6: Final answer
    x = 38,138.94

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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.