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Finding the Fourth Proportional to 255,223.36, 382,835.04 and 68,230

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Solution

The fourth proportional to 255,223.36, 382,835.04 and 68,230 is: 102,345

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,223.36 : 382,835.04 = 68,230 : x
  2. Step 2: Convert to fraction form
    255,223.36/382,835.04 = 68,230/x
  3. Step 3: Cross multiply
    255,223.36x = 382,835.04 × 68,230
  4. Step 4: Simplify right side
    255,223.36x = 26,120,834,779.20
  5. Step 5: Solve for x
    x = 26,120,834,779.20/255,223.36
  6. Step 6: Final answer
    x = 102,345

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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.