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Finding the Fourth Proportional to 191,037.27, 286,490.30 and 72,742.44

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Solution

The fourth proportional to 191,037.27, 286,490.30 and 72,742.44 is: 109,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,037.27 : 286,490.30 = 72,742.44 : x
  2. Step 2: Convert to fraction form
    191,037.27/286,490.30 = 72,742.44/x
  3. Step 3: Cross multiply
    191,037.27x = 286,490.30 × 72,742.44
  4. Step 4: Simplify right side
    191,037.27x = 20,840,003,458.33
  5. Step 5: Solve for x
    x = 20,840,003,458.33/191,037.27
  6. Step 6: Final answer
    x = 109,088.68

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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.