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Finding the Fourth Proportional to 70,822.27, 97,734 and 38,990.53

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Solution

The fourth proportional to 70,822.27, 97,734 and 38,990.53 is: 53,806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822.27 : 97,734 = 38,990.53 : x
  2. Step 2: Convert to fraction form
    70,822.27/97,734 = 38,990.53/x
  3. Step 3: Cross multiply
    70,822.27x = 97,734 × 38,990.53
  4. Step 4: Simplify right side
    70,822.27x = 3,810,700,459.02
  5. Step 5: Solve for x
    x = 3,810,700,459.02/70,822.27
  6. Step 6: Final answer
    x = 53,806.53

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1.5x scale

Why These Related Problems?

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