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Finding the Fourth Proportional to 215,470.83, 323,205.35 and 65,710.68

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Solution

The fourth proportional to 215,470.83, 323,205.35 and 65,710.68 is: 98,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,470.83 : 323,205.35 = 65,710.68 : x
  2. Step 2: Convert to fraction form
    215,470.83/323,205.35 = 65,710.68/x
  3. Step 3: Cross multiply
    215,470.83x = 323,205.35 × 65,710.68
  4. Step 4: Simplify right side
    215,470.83x = 21,238,043,328.14
  5. Step 5: Solve for x
    x = 21,238,043,328.14/215,470.83
  6. Step 6: Final answer
    x = 98,565.75

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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.