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Finding the Fourth Proportional to 70,306.50, 105,474.35 and 28,753.50

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Solution

The fourth proportional to 70,306.50, 105,474.35 and 28,753.50 is: 43,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,306.50 : 105,474.35 = 28,753.50 : x
  2. Step 2: Convert to fraction form
    70,306.50/105,474.35 = 28,753.50/x
  3. Step 3: Cross multiply
    70,306.50x = 105,474.35 × 28,753.50
  4. Step 4: Simplify right side
    70,306.50x = 3,032,756,578.96
  5. Step 5: Solve for x
    x = 3,032,756,578.96/70,306.50
  6. Step 6: Final answer
    x = 43,136.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.