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Finding the Fourth Proportional to 136,784.70, 188,762.50 and 76,354.85

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Solution

The fourth proportional to 136,784.70, 188,762.50 and 76,354.85 is: 105,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,784.70 : 188,762.50 = 76,354.85 : x
  2. Step 2: Convert to fraction form
    136,784.70/188,762.50 = 76,354.85/x
  3. Step 3: Cross multiply
    136,784.70x = 188,762.50 × 76,354.85
  4. Step 4: Simplify right side
    136,784.70x = 14,412,932,940.47
  5. Step 5: Solve for x
    x = 14,412,932,940.47/136,784.70
  6. Step 6: Final answer
    x = 105,369.48

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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.