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Finding the Fourth Proportional to 144,346.86, 216,446.36 and 76,917.32

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Solution

The fourth proportional to 144,346.86, 216,446.36 and 76,917.32 is: 115,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,346.86 : 216,446.36 = 76,917.32 : x
  2. Step 2: Convert to fraction form
    144,346.86/216,446.36 = 76,917.32/x
  3. Step 3: Cross multiply
    144,346.86x = 216,446.36 × 76,917.32
  4. Step 4: Simplify right side
    144,346.86x = 16,648,473,279.81
  5. Step 5: Solve for x
    x = 16,648,473,279.81/144,346.86
  6. Step 6: Final answer
    x = 115,336.58

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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.