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Finding the Fourth Proportional to 109,140.80, 163,711.20 and 96,018.80

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Solution

The fourth proportional to 109,140.80, 163,711.20 and 96,018.80 is: 144,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,140.80 : 163,711.20 = 96,018.80 : x
  2. Step 2: Convert to fraction form
    109,140.80/163,711.20 = 96,018.80/x
  3. Step 3: Cross multiply
    109,140.80x = 163,711.20 × 96,018.80
  4. Step 4: Simplify right side
    109,140.80x = 15,719,352,970.56
  5. Step 5: Solve for x
    x = 15,719,352,970.56/109,140.80
  6. Step 6: Final answer
    x = 144,028.20

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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.