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Finding the Fourth Proportional to 215,293.32, 322,941.78 and 75,051.72

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Solution

The fourth proportional to 215,293.32, 322,941.78 and 75,051.72 is: 112,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,293.32 : 322,941.78 = 75,051.72 : x
  2. Step 2: Convert to fraction form
    215,293.32/322,941.78 = 75,051.72/x
  3. Step 3: Cross multiply
    215,293.32x = 322,941.78 × 75,051.72
  4. Step 4: Simplify right side
    215,293.32x = 24,237,336,048.86
  5. Step 5: Solve for x
    x = 24,237,336,048.86/215,293.32
  6. Step 6: Final answer
    x = 112,578.21

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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.