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Finding the Fourth Proportional to 109,637.20, 164,893.20 and 98,264.80

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Solution

The fourth proportional to 109,637.20, 164,893.20 and 98,264.80 is: 147,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,637.20 : 164,893.20 = 98,264.80 : x
  2. Step 2: Convert to fraction form
    109,637.20/164,893.20 = 98,264.80/x
  3. Step 3: Cross multiply
    109,637.20x = 164,893.20 × 98,264.80
  4. Step 4: Simplify right side
    109,637.20x = 16,203,197,319.36
  5. Step 5: Solve for x
    x = 16,203,197,319.36/109,637.20
  6. Step 6: Final answer
    x = 147,789.23

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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.