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Finding the Fourth Proportional to 140,816, 211,200.96 and 99,136.64

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Solution

The fourth proportional to 140,816, 211,200.96 and 99,136.64 is: 148,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,816 : 211,200.96 = 99,136.64 : x
  2. Step 2: Convert to fraction form
    140,816/211,200.96 = 99,136.64/x
  3. Step 3: Cross multiply
    140,816x = 211,200.96 × 99,136.64
  4. Step 4: Simplify right side
    140,816x = 20,937,753,539.17
  5. Step 5: Solve for x
    x = 20,937,753,539.17/140,816
  6. Step 6: Final answer
    x = 148,688.74

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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.