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Finding the Fourth Proportional to 255,335.85, 382,989.92 and 77,829.03

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Solution

The fourth proportional to 255,335.85, 382,989.92 and 77,829.03 is: 116,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,335.85 : 382,989.92 = 77,829.03 : x
  2. Step 2: Convert to fraction form
    255,335.85/382,989.92 = 77,829.03/x
  3. Step 3: Cross multiply
    255,335.85x = 382,989.92 × 77,829.03
  4. Step 4: Simplify right side
    255,335.85x = 29,807,733,584.23
  5. Step 5: Solve for x
    x = 29,807,733,584.23/255,335.85
  6. Step 6: Final answer
    x = 116,739.32

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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.