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Finding the Fourth Proportional to 108,472.87, 149,587.41 and 84,590.83

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Solution

The fourth proportional to 108,472.87, 149,587.41 and 84,590.83 is: 116,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,472.87 : 149,587.41 = 84,590.83 : x
  2. Step 2: Convert to fraction form
    108,472.87/149,587.41 = 84,590.83/x
  3. Step 3: Cross multiply
    108,472.87x = 149,587.41 × 84,590.83
  4. Step 4: Simplify right side
    108,472.87x = 12,653,723,169.45
  5. Step 5: Solve for x
    x = 12,653,723,169.45/108,472.87
  6. Step 6: Final answer
    x = 116,653.35

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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.