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Finding the Fourth Proportional to 105,346.20, 158,105.70 and 101,890.20

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Solution

The fourth proportional to 105,346.20, 158,105.70 and 101,890.20 is: 152,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,346.20 : 158,105.70 = 101,890.20 : x
  2. Step 2: Convert to fraction form
    105,346.20/158,105.70 = 101,890.20/x
  3. Step 3: Cross multiply
    105,346.20x = 158,105.70 × 101,890.20
  4. Step 4: Simplify right side
    105,346.20x = 16,109,421,394.14
  5. Step 5: Solve for x
    x = 16,109,421,394.14/105,346.20
  6. Step 6: Final answer
    x = 152,918.87

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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.