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Finding the Fourth Proportional to 101,803.70, 152,765.10 and 42,634.40

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Solution

The fourth proportional to 101,803.70, 152,765.10 and 42,634.40 is: 63,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,803.70 : 152,765.10 = 42,634.40 : x
  2. Step 2: Convert to fraction form
    101,803.70/152,765.10 = 42,634.40/x
  3. Step 3: Cross multiply
    101,803.70x = 152,765.10 × 42,634.40
  4. Step 4: Simplify right side
    101,803.70x = 6,513,048,379.44
  5. Step 5: Solve for x
    x = 6,513,048,379.44/101,803.70
  6. Step 6: Final answer
    x = 63,976.54

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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.