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Finding the Fourth Proportional to 140,505.88, 210,841.80 and 51,821.32

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Solution

The fourth proportional to 140,505.88, 210,841.80 and 51,821.32 is: 77,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,505.88 : 210,841.80 = 51,821.32 : x
  2. Step 2: Convert to fraction form
    140,505.88/210,841.80 = 51,821.32/x
  3. Step 3: Cross multiply
    140,505.88x = 210,841.80 × 51,821.32
  4. Step 4: Simplify right side
    140,505.88x = 10,926,100,387.18
  5. Step 5: Solve for x
    x = 10,926,100,387.18/140,505.88
  6. Step 6: Final answer
    x = 77,762.58

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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.