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Finding the Fourth Proportional to 140,595.12, 210,745.80 and 61,642.80

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Solution

The fourth proportional to 140,595.12, 210,745.80 and 61,642.80 is: 92,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,595.12 : 210,745.80 = 61,642.80 : x
  2. Step 2: Convert to fraction form
    140,595.12/210,745.80 = 61,642.80/x
  3. Step 3: Cross multiply
    140,595.12x = 210,745.80 × 61,642.80
  4. Step 4: Simplify right side
    140,595.12x = 12,990,961,200.24
  5. Step 5: Solve for x
    x = 12,990,961,200.24/140,595.12
  6. Step 6: Final answer
    x = 92,399.80

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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.