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Finding the Fourth Proportional to 194,824.80, 291,978.85 and 100,051.15

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Solution

The fourth proportional to 194,824.80, 291,978.85 and 100,051.15 is: 149,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,824.80 : 291,978.85 = 100,051.15 : x
  2. Step 2: Convert to fraction form
    194,824.80/291,978.85 = 100,051.15/x
  3. Step 3: Cross multiply
    194,824.80x = 291,978.85 × 100,051.15
  4. Step 4: Simplify right side
    194,824.80x = 29,212,819,718.18
  5. Step 5: Solve for x
    x = 29,212,819,718.18/194,824.80
  6. Step 6: Final answer
    x = 149,944.05

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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.