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Finding the Fourth Proportional to 189,875.58, 284,645.75 and 71,629.96

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Solution

The fourth proportional to 189,875.58, 284,645.75 and 71,629.96 is: 107,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,875.58 : 284,645.75 = 71,629.96 : x
  2. Step 2: Convert to fraction form
    189,875.58/284,645.75 = 71,629.96/x
  3. Step 3: Cross multiply
    189,875.58x = 284,645.75 × 71,629.96
  4. Step 4: Simplify right side
    189,875.58x = 20,389,163,686.67
  5. Step 5: Solve for x
    x = 20,389,163,686.67/189,875.58
  6. Step 6: Final answer
    x = 107,381.71

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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.