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Finding the Fourth Proportional to 205,370.82, 307,924.38 and 85,510.80

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Solution

The fourth proportional to 205,370.82, 307,924.38 and 85,510.80 is: 128,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,370.82 : 307,924.38 = 85,510.80 : x
  2. Step 2: Convert to fraction form
    205,370.82/307,924.38 = 85,510.80/x
  3. Step 3: Cross multiply
    205,370.82x = 307,924.38 × 85,510.80
  4. Step 4: Simplify right side
    205,370.82x = 26,330,860,073.30
  5. Step 5: Solve for x
    x = 26,330,860,073.30/205,370.82
  6. Step 6: Final answer
    x = 128,211.30

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1.5x scale

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.