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Finding the Fourth Proportional to 199,038.16, 275,022.40 and 159,081.66

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Solution

The fourth proportional to 199,038.16, 275,022.40 and 159,081.66 is: 219,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,038.16 : 275,022.40 = 159,081.66 : x
  2. Step 2: Convert to fraction form
    199,038.16/275,022.40 = 159,081.66/x
  3. Step 3: Cross multiply
    199,038.16x = 275,022.40 × 159,081.66
  4. Step 4: Simplify right side
    199,038.16x = 43,751,019,929.18
  5. Step 5: Solve for x
    x = 43,751,019,929.18/199,038.16
  6. Step 6: Final answer
    x = 219,812.22

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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.