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Finding the Fourth Proportional to 231,353.78, 347,030.55 and 65,141.78

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Solution

The fourth proportional to 231,353.78, 347,030.55 and 65,141.78 is: 97,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,353.78 : 347,030.55 = 65,141.78 : x
  2. Step 2: Convert to fraction form
    231,353.78/347,030.55 = 65,141.78/x
  3. Step 3: Cross multiply
    231,353.78x = 347,030.55 × 65,141.78
  4. Step 4: Simplify right side
    231,353.78x = 22,606,187,741.38
  5. Step 5: Solve for x
    x = 22,606,187,741.38/231,353.78
  6. Step 6: Final answer
    x = 97,712.64

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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.