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Finding the Fourth Proportional to 147,178.64, 220,745.64 and 53,684.48

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Solution

The fourth proportional to 147,178.64, 220,745.64 and 53,684.48 is: 80,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,178.64 : 220,745.64 = 53,684.48 : x
  2. Step 2: Convert to fraction form
    147,178.64/220,745.64 = 53,684.48/x
  3. Step 3: Cross multiply
    147,178.64x = 220,745.64 × 53,684.48
  4. Step 4: Simplify right side
    147,178.64x = 11,850,614,895.67
  5. Step 5: Solve for x
    x = 11,850,614,895.67/147,178.64
  6. Step 6: Final answer
    x = 80,518.58

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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.