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Finding the Fourth Proportional to 189,987.12, 285,056.01 and 71,689.86

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Solution

The fourth proportional to 189,987.12, 285,056.01 and 71,689.86 is: 107,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,987.12 : 285,056.01 = 71,689.86 : x
  2. Step 2: Convert to fraction form
    189,987.12/285,056.01 = 71,689.86/x
  3. Step 3: Cross multiply
    189,987.12x = 285,056.01 × 71,689.86
  4. Step 4: Simplify right side
    189,987.12x = 20,435,625,449.06
  5. Step 5: Solve for x
    x = 20,435,625,449.06/189,987.12
  6. Step 6: Final answer
    x = 107,563.22

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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.