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Finding the Fourth Proportional to 109,070.40, 163,951.20 and 102,849.60

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Solution

The fourth proportional to 109,070.40, 163,951.20 and 102,849.60 is: 154,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,070.40 : 163,951.20 = 102,849.60 : x
  2. Step 2: Convert to fraction form
    109,070.40/163,951.20 = 102,849.60/x
  3. Step 3: Cross multiply
    109,070.40x = 163,951.20 × 102,849.60
  4. Step 4: Simplify right side
    109,070.40x = 16,862,315,339.52
  5. Step 5: Solve for x
    x = 16,862,315,339.52/109,070.40
  6. Step 6: Final answer
    x = 154,600.29

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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.