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Finding the Fourth Proportional to 213,902.10, 320,926.05 and 64,146.06

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Solution

The fourth proportional to 213,902.10, 320,926.05 and 64,146.06 is: 96,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,902.10 : 320,926.05 = 64,146.06 : x
  2. Step 2: Convert to fraction form
    213,902.10/320,926.05 = 64,146.06/x
  3. Step 3: Cross multiply
    213,902.10x = 320,926.05 × 64,146.06
  4. Step 4: Simplify right side
    213,902.10x = 20,586,141,658.86
  5. Step 5: Solve for x
    x = 20,586,141,658.86/213,902.10
  6. Step 6: Final answer
    x = 96,240.95

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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.