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Finding the Fourth Proportional to 189,078.30, 260,828.10 and 112,543.02

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Solution

The fourth proportional to 189,078.30, 260,828.10 and 112,543.02 is: 155,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,078.30 : 260,828.10 = 112,543.02 : x
  2. Step 2: Convert to fraction form
    189,078.30/260,828.10 = 112,543.02/x
  3. Step 3: Cross multiply
    189,078.30x = 260,828.10 × 112,543.02
  4. Step 4: Simplify right side
    189,078.30x = 29,354,382,074.86
  5. Step 5: Solve for x
    x = 29,354,382,074.86/189,078.30
  6. Step 6: Final answer
    x = 155,249.87

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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.