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Finding the Fourth Proportional to 134,871.80, 202,388.70 and 55,977.80

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Solution

The fourth proportional to 134,871.80, 202,388.70 and 55,977.80 is: 84,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,871.80 : 202,388.70 = 55,977.80 : x
  2. Step 2: Convert to fraction form
    134,871.80/202,388.70 = 55,977.80/x
  3. Step 3: Cross multiply
    134,871.80x = 202,388.70 × 55,977.80
  4. Step 4: Simplify right side
    134,871.80x = 11,329,274,170.86
  5. Step 5: Solve for x
    x = 11,329,274,170.86/134,871.80
  6. Step 6: Final answer
    x = 84,000.32

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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.