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Finding the Fourth Proportional to 99,890, 137,848.20 and 55,178

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Solution

The fourth proportional to 99,890, 137,848.20 and 55,178 is: 76,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,890 : 137,848.20 = 55,178 : x
  2. Step 2: Convert to fraction form
    99,890/137,848.20 = 55,178/x
  3. Step 3: Cross multiply
    99,890x = 137,848.20 × 55,178
  4. Step 4: Simplify right side
    99,890x = 7,606,187,979.60
  5. Step 5: Solve for x
    x = 7,606,187,979.60/99,890
  6. Step 6: Final answer
    x = 76,145.64

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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.