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Finding the Fourth Proportional to 213,761.94, 320,642.61 and 85,735.98

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Solution

The fourth proportional to 213,761.94, 320,642.61 and 85,735.98 is: 128,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,761.94 : 320,642.61 = 85,735.98 : x
  2. Step 2: Convert to fraction form
    213,761.94/320,642.61 = 85,735.98/x
  3. Step 3: Cross multiply
    213,761.94x = 320,642.61 × 85,735.98
  4. Step 4: Simplify right side
    213,761.94x = 27,490,608,398.11
  5. Step 5: Solve for x
    x = 27,490,608,398.11/213,761.94
  6. Step 6: Final answer
    x = 128,603.85

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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.