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Finding the Fourth Proportional to 136,716.86, 205,009.68 and 70,122.71

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Solution

The fourth proportional to 136,716.86, 205,009.68 and 70,122.71 is: 105,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,716.86 : 205,009.68 = 70,122.71 : x
  2. Step 2: Convert to fraction form
    136,716.86/205,009.68 = 70,122.71/x
  3. Step 3: Cross multiply
    136,716.86x = 205,009.68 × 70,122.71
  4. Step 4: Simplify right side
    136,716.86x = 14,375,835,113.32
  5. Step 5: Solve for x
    x = 14,375,835,113.32/136,716.86
  6. Step 6: Final answer
    x = 105,150.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.