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Finding the Fourth Proportional to 136,853.84, 188,851.08 and 77,234

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Solution

The fourth proportional to 136,853.84, 188,851.08 and 77,234 is: 106,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,853.84 : 188,851.08 = 77,234 : x
  2. Step 2: Convert to fraction form
    136,853.84/188,851.08 = 77,234/x
  3. Step 3: Cross multiply
    136,853.84x = 188,851.08 × 77,234
  4. Step 4: Simplify right side
    136,853.84x = 14,585,724,312.72
  5. Step 5: Solve for x
    x = 14,585,724,312.72/136,853.84
  6. Step 6: Final answer
    x = 106,578.85

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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.