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Finding the Fourth Proportional to 136,104.78, 187,830.81 and 75,681.54

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Solution

The fourth proportional to 136,104.78, 187,830.81 and 75,681.54 is: 104,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,104.78 : 187,830.81 = 75,681.54 : x
  2. Step 2: Convert to fraction form
    136,104.78/187,830.81 = 75,681.54/x
  3. Step 3: Cross multiply
    136,104.78x = 187,830.81 × 75,681.54
  4. Step 4: Simplify right side
    136,104.78x = 14,215,324,960.25
  5. Step 5: Solve for x
    x = 14,215,324,960.25/136,104.78
  6. Step 6: Final answer
    x = 104,443.98

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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.