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Finding the Fourth Proportional to 144,048.46, 215,925 and 55,278.14

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Solution

The fourth proportional to 144,048.46, 215,925 and 55,278.14 is: 82,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,048.46 : 215,925 = 55,278.14 : x
  2. Step 2: Convert to fraction form
    144,048.46/215,925 = 55,278.14/x
  3. Step 3: Cross multiply
    144,048.46x = 215,925 × 55,278.14
  4. Step 4: Simplify right side
    144,048.46x = 11,935,932,379.50
  5. Step 5: Solve for x
    x = 11,935,932,379.50/144,048.46
  6. Step 6: Final answer
    x = 82,860.53

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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.