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Finding the Fourth Proportional to 140,421.60, 211,069.80 and 137,797.20

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Solution

The fourth proportional to 140,421.60, 211,069.80 and 137,797.20 is: 207,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,421.60 : 211,069.80 = 137,797.20 : x
  2. Step 2: Convert to fraction form
    140,421.60/211,069.80 = 137,797.20/x
  3. Step 3: Cross multiply
    140,421.60x = 211,069.80 × 137,797.20
  4. Step 4: Simplify right side
    140,421.60x = 29,084,827,444.56
  5. Step 5: Solve for x
    x = 29,084,827,444.56/140,421.60
  6. Step 6: Final answer
    x = 207,125.03

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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.