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Finding the Fourth Proportional to 109,830.60, 164,745.90 and 72,432.90

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Solution

The fourth proportional to 109,830.60, 164,745.90 and 72,432.90 is: 108,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,830.60 : 164,745.90 = 72,432.90 : x
  2. Step 2: Convert to fraction form
    109,830.60/164,745.90 = 72,432.90/x
  3. Step 3: Cross multiply
    109,830.60x = 164,745.90 × 72,432.90
  4. Step 4: Simplify right side
    109,830.60x = 11,933,023,300.11
  5. Step 5: Solve for x
    x = 11,933,023,300.11/109,830.60
  6. Step 6: Final answer
    x = 108,649.35

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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.