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Finding the Fourth Proportional to 109,700.80, 164,551.20 and 91,986.10

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Solution

The fourth proportional to 109,700.80, 164,551.20 and 91,986.10 is: 137,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,700.80 : 164,551.20 = 91,986.10 : x
  2. Step 2: Convert to fraction form
    109,700.80/164,551.20 = 91,986.10/x
  3. Step 3: Cross multiply
    109,700.80x = 164,551.20 × 91,986.10
  4. Step 4: Simplify right side
    109,700.80x = 15,136,423,138.32
  5. Step 5: Solve for x
    x = 15,136,423,138.32/109,700.80
  6. Step 6: Final answer
    x = 137,979.15

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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.