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Finding the Fourth Proportional to 114,976.96, 158,509.92 and 78,671.68

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Solution

The fourth proportional to 114,976.96, 158,509.92 and 78,671.68 is: 108,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,976.96 : 158,509.92 = 78,671.68 : x
  2. Step 2: Convert to fraction form
    114,976.96/158,509.92 = 78,671.68/x
  3. Step 3: Cross multiply
    114,976.96x = 158,509.92 × 78,671.68
  4. Step 4: Simplify right side
    114,976.96x = 12,470,241,703.07
  5. Step 5: Solve for x
    x = 12,470,241,703.07/114,976.96
  6. Step 6: Final answer
    x = 108,458.61

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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.