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Finding the Fourth Proportional to 136,307.52, 188,083.56 and 78,156

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Solution

The fourth proportional to 136,307.52, 188,083.56 and 78,156 is: 107,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,307.52 : 188,083.56 = 78,156 : x
  2. Step 2: Convert to fraction form
    136,307.52/188,083.56 = 78,156/x
  3. Step 3: Cross multiply
    136,307.52x = 188,083.56 × 78,156
  4. Step 4: Simplify right side
    136,307.52x = 14,699,858,715.36
  5. Step 5: Solve for x
    x = 14,699,858,715.36/136,307.52
  6. Step 6: Final answer
    x = 107,843.34

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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.