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Finding the Fourth Proportional to 144,019.92, 198,717.12 and 83,583.12

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Solution

The fourth proportional to 144,019.92, 198,717.12 and 83,583.12 is: 115,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,019.92 : 198,717.12 = 83,583.12 : x
  2. Step 2: Convert to fraction form
    144,019.92/198,717.12 = 83,583.12/x
  3. Step 3: Cross multiply
    144,019.92x = 198,717.12 × 83,583.12
  4. Step 4: Simplify right side
    144,019.92x = 16,609,396,887.01
  5. Step 5: Solve for x
    x = 16,609,396,887.01/144,019.92
  6. Step 6: Final answer
    x = 115,327.08

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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.