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Finding the Fourth Proportional to 69,311.60, 103,821.60 and 57,647.60

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Solution

The fourth proportional to 69,311.60, 103,821.60 and 57,647.60 is: 86,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,311.60 : 103,821.60 = 57,647.60 : x
  2. Step 2: Convert to fraction form
    69,311.60/103,821.60 = 57,647.60/x
  3. Step 3: Cross multiply
    69,311.60x = 103,821.60 × 57,647.60
  4. Step 4: Simplify right side
    69,311.60x = 5,985,066,068.16
  5. Step 5: Solve for x
    x = 5,985,066,068.16/69,311.60
  6. Step 6: Final answer
    x = 86,350.14

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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.