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Finding the Fourth Proportional to 109,362.40, 164,043.60 and 98,648.80

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Solution

The fourth proportional to 109,362.40, 164,043.60 and 98,648.80 is: 147,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,362.40 : 164,043.60 = 98,648.80 : x
  2. Step 2: Convert to fraction form
    109,362.40/164,043.60 = 98,648.80/x
  3. Step 3: Cross multiply
    109,362.40x = 164,043.60 × 98,648.80
  4. Step 4: Simplify right side
    109,362.40x = 16,182,704,287.68
  5. Step 5: Solve for x
    x = 16,182,704,287.68/109,362.40
  6. Step 6: Final answer
    x = 147,973.20

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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.