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Finding the Fourth Proportional to 100,695.08, 151,039.10 and 25,815.98

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Solution

The fourth proportional to 100,695.08, 151,039.10 and 25,815.98 is: 38,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,695.08 : 151,039.10 = 25,815.98 : x
  2. Step 2: Convert to fraction form
    100,695.08/151,039.10 = 25,815.98/x
  3. Step 3: Cross multiply
    100,695.08x = 151,039.10 × 25,815.98
  4. Step 4: Simplify right side
    100,695.08x = 3,899,222,384.82
  5. Step 5: Solve for x
    x = 3,899,222,384.82/100,695.08
  6. Step 6: Final answer
    x = 38,723.07

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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.