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Finding the Fourth Proportional to 101,989.84, 140,737.64 and 56,669.20

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Solution

The fourth proportional to 101,989.84, 140,737.64 and 56,669.20 is: 78,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,989.84 : 140,737.64 = 56,669.20 : x
  2. Step 2: Convert to fraction form
    101,989.84/140,737.64 = 56,669.20/x
  3. Step 3: Cross multiply
    101,989.84x = 140,737.64 × 56,669.20
  4. Step 4: Simplify right side
    101,989.84x = 7,975,489,468.69
  5. Step 5: Solve for x
    x = 7,975,489,468.69/101,989.84
  6. Step 6: Final answer
    x = 78,198.86

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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.