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Finding the Fourth Proportional to 231,391.64, 347,130.91 and 105,040.76

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Solution

The fourth proportional to 231,391.64, 347,130.91 and 105,040.76 is: 157,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,391.64 : 347,130.91 = 105,040.76 : x
  2. Step 2: Convert to fraction form
    231,391.64/347,130.91 = 105,040.76/x
  3. Step 3: Cross multiply
    231,391.64x = 347,130.91 × 105,040.76
  4. Step 4: Simplify right side
    231,391.64x = 36,462,892,870.24
  5. Step 5: Solve for x
    x = 36,462,892,870.24/231,391.64
  6. Step 6: Final answer
    x = 157,580.86

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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.