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Finding the Fourth Proportional to 102,522.92, 153,789.03 and 31,440.35

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Solution

The fourth proportional to 102,522.92, 153,789.03 and 31,440.35 is: 47,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,522.92 : 153,789.03 = 31,440.35 : x
  2. Step 2: Convert to fraction form
    102,522.92/153,789.03 = 31,440.35/x
  3. Step 3: Cross multiply
    102,522.92x = 153,789.03 × 31,440.35
  4. Step 4: Simplify right side
    102,522.92x = 4,835,181,313.83
  5. Step 5: Solve for x
    x = 4,835,181,313.83/102,522.92
  6. Step 6: Final answer
    x = 47,161.96

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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.