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Finding the Fourth Proportional to 99,446, 137,235.48 and 54,734

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Solution

The fourth proportional to 99,446, 137,235.48 and 54,734 is: 75,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,446 : 137,235.48 = 54,734 : x
  2. Step 2: Convert to fraction form
    99,446/137,235.48 = 54,734/x
  3. Step 3: Cross multiply
    99,446x = 137,235.48 × 54,734
  4. Step 4: Simplify right side
    99,446x = 7,511,446,762.32
  5. Step 5: Solve for x
    x = 7,511,446,762.32/99,446
  6. Step 6: Final answer
    x = 75,532.92

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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.