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Finding the Fourth Proportional to 255,309.83, 382,853.91 and 86,784.86

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Solution

The fourth proportional to 255,309.83, 382,853.91 and 86,784.86 is: 130,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,309.83 : 382,853.91 = 86,784.86 : x
  2. Step 2: Convert to fraction form
    255,309.83/382,853.91 = 86,784.86/x
  3. Step 3: Cross multiply
    255,309.83x = 382,853.91 × 86,784.86
  4. Step 4: Simplify right side
    255,309.83x = 33,225,921,065.53
  5. Step 5: Solve for x
    x = 33,225,921,065.53/255,309.83
  6. Step 6: Final answer
    x = 130,139.61

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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.