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Finding the Fourth Proportional to 191,432.82, 287,167.31 and 56,497.40

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Solution

The fourth proportional to 191,432.82, 287,167.31 and 56,497.40 is: 84,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,432.82 : 287,167.31 = 56,497.40 : x
  2. Step 2: Convert to fraction form
    191,432.82/287,167.31 = 56,497.40/x
  3. Step 3: Cross multiply
    191,432.82x = 287,167.31 × 56,497.40
  4. Step 4: Simplify right side
    191,432.82x = 16,224,206,379.99
  5. Step 5: Solve for x
    x = 16,224,206,379.99/191,432.82
  6. Step 6: Final answer
    x = 84,751.44

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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.