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Finding the Fourth Proportional to 215,543.77, 323,315.65 and 65,784.86

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Solution

The fourth proportional to 215,543.77, 323,315.65 and 65,784.86 is: 98,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,543.77 : 323,315.65 = 65,784.86 : x
  2. Step 2: Convert to fraction form
    215,543.77/323,315.65 = 65,784.86/x
  3. Step 3: Cross multiply
    215,543.77x = 323,315.65 × 65,784.86
  4. Step 4: Simplify right side
    215,543.77x = 21,269,274,449.15
  5. Step 5: Solve for x
    x = 21,269,274,449.15/215,543.77
  6. Step 6: Final answer
    x = 98,677.29

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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.