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Finding the Fourth Proportional to 140,537.40, 210,733.20 and 51,745.20

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Solution

The fourth proportional to 140,537.40, 210,733.20 and 51,745.20 is: 77,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,537.40 : 210,733.20 = 51,745.20 : x
  2. Step 2: Convert to fraction form
    140,537.40/210,733.20 = 51,745.20/x
  3. Step 3: Cross multiply
    140,537.40x = 210,733.20 × 51,745.20
  4. Step 4: Simplify right side
    140,537.40x = 10,904,431,580.64
  5. Step 5: Solve for x
    x = 10,904,431,580.64/140,537.40
  6. Step 6: Final answer
    x = 77,590.96

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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.