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Finding the Fourth Proportional to 217,261.78, 325,830.47 and 75,069.86

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Solution

The fourth proportional to 217,261.78, 325,830.47 and 75,069.86 is: 112,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,261.78 : 325,830.47 = 75,069.86 : x
  2. Step 2: Convert to fraction form
    217,261.78/325,830.47 = 75,069.86/x
  3. Step 3: Cross multiply
    217,261.78x = 325,830.47 × 75,069.86
  4. Step 4: Simplify right side
    217,261.78x = 24,460,045,762.13
  5. Step 5: Solve for x
    x = 24,460,045,762.13/217,261.78
  6. Step 6: Final answer
    x = 112,583.29

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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.