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Finding the Fourth Proportional to 191,038.27, 286,491.80 and 72,743.44

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Solution

The fourth proportional to 191,038.27, 286,491.80 and 72,743.44 is: 109,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,038.27 : 286,491.80 = 72,743.44 : x
  2. Step 2: Convert to fraction form
    191,038.27/286,491.80 = 72,743.44/x
  3. Step 3: Cross multiply
    191,038.27x = 286,491.80 × 72,743.44
  4. Step 4: Simplify right side
    191,038.27x = 20,840,399,063.79
  5. Step 5: Solve for x
    x = 20,840,399,063.79/191,038.27
  6. Step 6: Final answer
    x = 109,090.18

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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.