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Finding the Fourth Proportional to 99,410, 137,188.68 and 54,698

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Solution

The fourth proportional to 99,410, 137,188.68 and 54,698 is: 75,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,410 : 137,188.68 = 54,698 : x
  2. Step 2: Convert to fraction form
    99,410/137,188.68 = 54,698/x
  3. Step 3: Cross multiply
    99,410x = 137,188.68 × 54,698
  4. Step 4: Simplify right side
    99,410x = 7,503,946,418.64
  5. Step 5: Solve for x
    x = 7,503,946,418.64/99,410
  6. Step 6: Final answer
    x = 75,484.82

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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.