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Finding the Fourth Proportional to 159,492.17, 220,190.83 and 105,849.92

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Solution

The fourth proportional to 159,492.17, 220,190.83 and 105,849.92 is: 146,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,492.17 : 220,190.83 = 105,849.92 : x
  2. Step 2: Convert to fraction form
    159,492.17/220,190.83 = 105,849.92/x
  3. Step 3: Cross multiply
    159,492.17x = 220,190.83 × 105,849.92
  4. Step 4: Simplify right side
    159,492.17x = 23,307,181,740.23
  5. Step 5: Solve for x
    x = 23,307,181,740.23/159,492.17
  6. Step 6: Final answer
    x = 146,133.71

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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.