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Finding the Fourth Proportional to 144,009.60, 216,111.60 and 80,829.60

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Solution

The fourth proportional to 144,009.60, 216,111.60 and 80,829.60 is: 121,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,009.60 : 216,111.60 = 80,829.60 : x
  2. Step 2: Convert to fraction form
    144,009.60/216,111.60 = 80,829.60/x
  3. Step 3: Cross multiply
    144,009.60x = 216,111.60 × 80,829.60
  4. Step 4: Simplify right side
    144,009.60x = 17,468,214,183.36
  5. Step 5: Solve for x
    x = 17,468,214,183.36/144,009.60
  6. Step 6: Final answer
    x = 121,298.96

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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.