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Finding the Fourth Proportional to 136,161, 187,902.18 and 76,545

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Solution

The fourth proportional to 136,161, 187,902.18 and 76,545 is: 105,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,161 : 187,902.18 = 76,545 : x
  2. Step 2: Convert to fraction form
    136,161/187,902.18 = 76,545/x
  3. Step 3: Cross multiply
    136,161x = 187,902.18 × 76,545
  4. Step 4: Simplify right side
    136,161x = 14,382,972,368.10
  5. Step 5: Solve for x
    x = 14,382,972,368.10/136,161
  6. Step 6: Final answer
    x = 105,632.10

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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.