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Finding the Fourth Proportional to 144,002.60, 215,939.10 and 55,226.60

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Solution

The fourth proportional to 144,002.60, 215,939.10 and 55,226.60 is: 82,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,002.60 : 215,939.10 = 55,226.60 : x
  2. Step 2: Convert to fraction form
    144,002.60/215,939.10 = 55,226.60/x
  3. Step 3: Cross multiply
    144,002.60x = 215,939.10 × 55,226.60
  4. Step 4: Simplify right side
    144,002.60x = 11,925,582,300.06
  5. Step 5: Solve for x
    x = 11,925,582,300.06/144,002.60
  6. Step 6: Final answer
    x = 82,815.05

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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.