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Finding the Fourth Proportional to 136,602, 188,510.76 and 76,986

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Solution

The fourth proportional to 136,602, 188,510.76 and 76,986 is: 106,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,602 : 188,510.76 = 76,986 : x
  2. Step 2: Convert to fraction form
    136,602/188,510.76 = 76,986/x
  3. Step 3: Cross multiply
    136,602x = 188,510.76 × 76,986
  4. Step 4: Simplify right side
    136,602x = 14,512,689,369.36
  5. Step 5: Solve for x
    x = 14,512,689,369.36/136,602
  6. Step 6: Final answer
    x = 106,240.68

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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.