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Finding the Fourth Proportional to 136,509.86, 188,398.86 and 76,086.02

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Solution

The fourth proportional to 136,509.86, 188,398.86 and 76,086.02 is: 105,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,509.86 : 188,398.86 = 76,086.02 : x
  2. Step 2: Convert to fraction form
    136,509.86/188,398.86 = 76,086.02/x
  3. Step 3: Cross multiply
    136,509.86x = 188,398.86 × 76,086.02
  4. Step 4: Simplify right side
    136,509.86x = 14,334,519,429.94
  5. Step 5: Solve for x
    x = 14,334,519,429.94/136,509.86
  6. Step 6: Final answer
    x = 105,007.21

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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.