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Finding the Fourth Proportional to 70,002.98, 96,602 and 38,172.50

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Solution

The fourth proportional to 70,002.98, 96,602 and 38,172.50 is: 52,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,002.98 : 96,602 = 38,172.50 : x
  2. Step 2: Convert to fraction form
    70,002.98/96,602 = 38,172.50/x
  3. Step 3: Cross multiply
    70,002.98x = 96,602 × 38,172.50
  4. Step 4: Simplify right side
    70,002.98x = 3,687,539,845
  5. Step 5: Solve for x
    x = 3,687,539,845/70,002.98
  6. Step 6: Final answer
    x = 52,676.90

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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.