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Finding the Fourth Proportional to 100,452, 138,630.24 and 55,740

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Solution

The fourth proportional to 100,452, 138,630.24 and 55,740 is: 76,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,452 : 138,630.24 = 55,740 : x
  2. Step 2: Convert to fraction form
    100,452/138,630.24 = 55,740/x
  3. Step 3: Cross multiply
    100,452x = 138,630.24 × 55,740
  4. Step 4: Simplify right side
    100,452x = 7,727,249,577.60
  5. Step 5: Solve for x
    x = 7,727,249,577.60/100,452
  6. Step 6: Final answer
    x = 76,924.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.