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Finding the Fourth Proportional to 101,909.38, 140,651.64 and 59,467.78

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Solution

The fourth proportional to 101,909.38, 140,651.64 and 59,467.78 is: 82,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,909.38 : 140,651.64 = 59,467.78 : x
  2. Step 2: Convert to fraction form
    101,909.38/140,651.64 = 59,467.78/x
  3. Step 3: Cross multiply
    101,909.38x = 140,651.64 × 59,467.78
  4. Step 4: Simplify right side
    101,909.38x = 8,364,240,784.16
  5. Step 5: Solve for x
    x = 8,364,240,784.16/101,909.38
  6. Step 6: Final answer
    x = 82,075.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.