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Finding the Fourth Proportional to 109,871.12, 164,811.47 and 53,758.47

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Solution

The fourth proportional to 109,871.12, 164,811.47 and 53,758.47 is: 80,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.12 : 164,811.47 = 53,758.47 : x
  2. Step 2: Convert to fraction form
    109,871.12/164,811.47 = 53,758.47/x
  3. Step 3: Cross multiply
    109,871.12x = 164,811.47 × 53,758.47
  4. Step 4: Simplify right side
    109,871.12x = 8,860,012,196.86
  5. Step 5: Solve for x
    x = 8,860,012,196.86/109,871.12
  6. Step 6: Final answer
    x = 80,640.05

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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.