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Finding the Fourth Proportional to 105,412.50, 158,129.84 and 34,340.70

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Solution

The fourth proportional to 105,412.50, 158,129.84 and 34,340.70 is: 51,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412.50 : 158,129.84 = 34,340.70 : x
  2. Step 2: Convert to fraction form
    105,412.50/158,129.84 = 34,340.70/x
  3. Step 3: Cross multiply
    105,412.50x = 158,129.84 × 34,340.70
  4. Step 4: Simplify right side
    105,412.50x = 5,430,289,396.49
  5. Step 5: Solve for x
    x = 5,430,289,396.49/105,412.50
  6. Step 6: Final answer
    x = 51,514.66

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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.