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Finding the Fourth Proportional to 97,687.56, 146,529.74 and 31,126.79

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Solution

The fourth proportional to 97,687.56, 146,529.74 and 31,126.79 is: 46,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,687.56 : 146,529.74 = 31,126.79 : x
  2. Step 2: Convert to fraction form
    97,687.56/146,529.74 = 31,126.79/x
  3. Step 3: Cross multiply
    97,687.56x = 146,529.74 × 31,126.79
  4. Step 4: Simplify right side
    97,687.56x = 4,561,000,001.59
  5. Step 5: Solve for x
    x = 4,561,000,001.59/97,687.56
  6. Step 6: Final answer
    x = 46,689.67

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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.