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Finding the Fourth Proportional to 140,504.88, 210,840.30 and 51,820.32

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Solution

The fourth proportional to 140,504.88, 210,840.30 and 51,820.32 is: 77,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,504.88 : 210,840.30 = 51,820.32 : x
  2. Step 2: Convert to fraction form
    140,504.88/210,840.30 = 51,820.32/x
  3. Step 3: Cross multiply
    140,504.88x = 210,840.30 × 51,820.32
  4. Step 4: Simplify right side
    140,504.88x = 10,925,811,814.90
  5. Step 5: Solve for x
    x = 10,925,811,814.90/140,504.88
  6. Step 6: Final answer
    x = 77,761.08

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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.