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Finding the Fourth Proportional to 105,318, 157,994.28 and 35,214.12

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Solution

The fourth proportional to 105,318, 157,994.28 and 35,214.12 is: 52,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,318 : 157,994.28 = 35,214.12 : x
  2. Step 2: Convert to fraction form
    105,318/157,994.28 = 35,214.12/x
  3. Step 3: Cross multiply
    105,318x = 157,994.28 × 35,214.12
  4. Step 4: Simplify right side
    105,318x = 5,563,629,535.23
  5. Step 5: Solve for x
    x = 5,563,629,535.23/105,318
  6. Step 6: Final answer
    x = 52,826.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.