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Finding the Fourth Proportional to 137,281.60, 205,825.20 and 53,009.20

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Solution

The fourth proportional to 137,281.60, 205,825.20 and 53,009.20 is: 79,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,281.60 : 205,825.20 = 53,009.20 : x
  2. Step 2: Convert to fraction form
    137,281.60/205,825.20 = 53,009.20/x
  3. Step 3: Cross multiply
    137,281.60x = 205,825.20 × 53,009.20
  4. Step 4: Simplify right side
    137,281.60x = 10,910,629,191.84
  5. Step 5: Solve for x
    x = 10,910,629,191.84/137,281.60
  6. Step 6: Final answer
    x = 79,476.27

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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.