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Finding the Fourth Proportional to 70,101.60, 96,742.50 and 38,272.20

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Solution

The fourth proportional to 70,101.60, 96,742.50 and 38,272.20 is: 52,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,101.60 : 96,742.50 = 38,272.20 : x
  2. Step 2: Convert to fraction form
    70,101.60/96,742.50 = 38,272.20/x
  3. Step 3: Cross multiply
    70,101.60x = 96,742.50 × 38,272.20
  4. Step 4: Simplify right side
    70,101.60x = 3,702,548,308.50
  5. Step 5: Solve for x
    x = 3,702,548,308.50/70,101.60
  6. Step 6: Final answer
    x = 52,816.89

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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.