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Finding the Fourth Proportional to 144,022.50, 198,719.13 and 83,558.07

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Solution

The fourth proportional to 144,022.50, 198,719.13 and 83,558.07 is: 115,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,022.50 : 198,719.13 = 83,558.07 : x
  2. Step 2: Convert to fraction form
    144,022.50/198,719.13 = 83,558.07/x
  3. Step 3: Cross multiply
    144,022.50x = 198,719.13 × 83,558.07
  4. Step 4: Simplify right side
    144,022.50x = 16,604,586,974.88
  5. Step 5: Solve for x
    x = 16,604,586,974.88/144,022.50
  6. Step 6: Final answer
    x = 115,291.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.