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Finding the Fourth Proportional to 70,493.12, 97,281.84 and 38,660.16

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Solution

The fourth proportional to 70,493.12, 97,281.84 and 38,660.16 is: 53,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,493.12 : 97,281.84 = 38,660.16 : x
  2. Step 2: Convert to fraction form
    70,493.12/97,281.84 = 38,660.16/x
  3. Step 3: Cross multiply
    70,493.12x = 97,281.84 × 38,660.16
  4. Step 4: Simplify right side
    70,493.12x = 3,760,931,499.49
  5. Step 5: Solve for x
    x = 3,760,931,499.49/70,493.12
  6. Step 6: Final answer
    x = 53,351.75

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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.