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Finding the Fourth Proportional to 257,820.85, 386,638.62 and 89,295.76

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Solution

The fourth proportional to 257,820.85, 386,638.62 and 89,295.76 is: 133,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,820.85 : 386,638.62 = 89,295.76 : x
  2. Step 2: Convert to fraction form
    257,820.85/386,638.62 = 89,295.76/x
  3. Step 3: Cross multiply
    257,820.85x = 386,638.62 × 89,295.76
  4. Step 4: Simplify right side
    257,820.85x = 34,525,189,418.25
  5. Step 5: Solve for x
    x = 34,525,189,418.25/257,820.85
  6. Step 6: Final answer
    x = 133,911.55

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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.