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Finding the Fourth Proportional to 205,017.12, 282,923.36 and 115,593.12

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Solution

The fourth proportional to 205,017.12, 282,923.36 and 115,593.12 is: 159,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,017.12 : 282,923.36 = 115,593.12 : x
  2. Step 2: Convert to fraction form
    205,017.12/282,923.36 = 115,593.12/x
  3. Step 3: Cross multiply
    205,017.12x = 282,923.36 × 115,593.12
  4. Step 4: Simplify right side
    205,017.12x = 32,703,993,903.28
  5. Step 5: Solve for x
    x = 32,703,993,903.28/205,017.12
  6. Step 6: Final answer
    x = 159,518.36

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