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Finding the Fourth Proportional to 70,243.20, 105,211.20 and 54,537.60

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Solution

The fourth proportional to 70,243.20, 105,211.20 and 54,537.60 is: 81,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,243.20 : 105,211.20 = 54,537.60 : x
  2. Step 2: Convert to fraction form
    70,243.20/105,211.20 = 54,537.60/x
  3. Step 3: Cross multiply
    70,243.20x = 105,211.20 × 54,537.60
  4. Step 4: Simplify right side
    70,243.20x = 5,737,966,341.12
  5. Step 5: Solve for x
    x = 5,737,966,341.12/70,243.20
  6. Step 6: Final answer
    x = 81,687.14

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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.