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Finding the Fourth Proportional to 105,394.29, 158,059.53 and 55,446.84

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Solution

The fourth proportional to 105,394.29, 158,059.53 and 55,446.84 is: 83,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,394.29 : 158,059.53 = 55,446.84 : x
  2. Step 2: Convert to fraction form
    105,394.29/158,059.53 = 55,446.84/x
  3. Step 3: Cross multiply
    105,394.29x = 158,059.53 × 55,446.84
  4. Step 4: Simplify right side
    105,394.29x = 8,763,901,470.39
  5. Step 5: Solve for x
    x = 8,763,901,470.39/105,394.29
  6. Step 6: Final answer
    x = 83,153.48

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1.5x scale

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.