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Finding the Fourth Proportional to 255,247.83, 382,913.26 and 86,783.22

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Solution

The fourth proportional to 255,247.83, 382,913.26 and 86,783.22 is: 130,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,247.83 : 382,913.26 = 86,783.22 : x
  2. Step 2: Convert to fraction form
    255,247.83/382,913.26 = 86,783.22/x
  3. Step 3: Cross multiply
    255,247.83x = 382,913.26 × 86,783.22
  4. Step 4: Simplify right side
    255,247.83x = 33,230,445,466.54
  5. Step 5: Solve for x
    x = 33,230,445,466.54/255,247.83
  6. Step 6: Final answer
    x = 130,188.94

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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.