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Finding the Fourth Proportional to 253,763.82, 380,689.65 and 85,300.62

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Solution

The fourth proportional to 253,763.82, 380,689.65 and 85,300.62 is: 127,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,763.82 : 380,689.65 = 85,300.62 : x
  2. Step 2: Convert to fraction form
    253,763.82/380,689.65 = 85,300.62/x
  3. Step 3: Cross multiply
    253,763.82x = 380,689.65 × 85,300.62
  4. Step 4: Simplify right side
    253,763.82x = 32,473,063,172.58
  5. Step 5: Solve for x
    x = 32,473,063,172.58/253,763.82
  6. Step 6: Final answer
    x = 127,965.69

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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.