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Finding the Fourth Proportional to 104,959.72, 144,841.53 and 57,214

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Solution

The fourth proportional to 104,959.72, 144,841.53 and 57,214 is: 78,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,959.72 : 144,841.53 = 57,214 : x
  2. Step 2: Convert to fraction form
    104,959.72/144,841.53 = 57,214/x
  3. Step 3: Cross multiply
    104,959.72x = 144,841.53 × 57,214
  4. Step 4: Simplify right side
    104,959.72x = 8,286,963,297.42
  5. Step 5: Solve for x
    x = 8,286,963,297.42/104,959.72
  6. Step 6: Final answer
    x = 78,953.75

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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.