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Finding the Fourth Proportional to 255,921.32, 353,100.53 and 165,281.11

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Solution

The fourth proportional to 255,921.32, 353,100.53 and 165,281.11 is: 228,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,921.32 : 353,100.53 = 165,281.11 : x
  2. Step 2: Convert to fraction form
    255,921.32/353,100.53 = 165,281.11/x
  3. Step 3: Cross multiply
    255,921.32x = 353,100.53 × 165,281.11
  4. Step 4: Simplify right side
    255,921.32x = 58,360,847,070.44
  5. Step 5: Solve for x
    x = 58,360,847,070.44/255,921.32
  6. Step 6: Final answer
    x = 228,042.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.