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Finding the Fourth Proportional to 253,695.83, 380,513.51 and 66,721.91

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Solution

The fourth proportional to 253,695.83, 380,513.51 and 66,721.91 is: 100,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,695.83 : 380,513.51 = 66,721.91 : x
  2. Step 2: Convert to fraction form
    253,695.83/380,513.51 = 66,721.91/x
  3. Step 3: Cross multiply
    253,695.83x = 380,513.51 × 66,721.91
  4. Step 4: Simplify right side
    253,695.83x = 25,388,587,834.39
  5. Step 5: Solve for x
    x = 25,388,587,834.39/253,695.83
  6. Step 6: Final answer
    x = 100,074.91

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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.