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Finding the Fourth Proportional to 210,149.80, 314,951.10 and 85,345

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Solution

The fourth proportional to 210,149.80, 314,951.10 and 85,345 is: 127,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,149.80 : 314,951.10 = 85,345 : x
  2. Step 2: Convert to fraction form
    210,149.80/314,951.10 = 85,345/x
  3. Step 3: Cross multiply
    210,149.80x = 314,951.10 × 85,345
  4. Step 4: Simplify right side
    210,149.80x = 26,879,501,629.50
  5. Step 5: Solve for x
    x = 26,879,501,629.50/210,149.80
  6. Step 6: Final answer
    x = 127,906.39

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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.