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Finding the Fourth Proportional to 110,471.06, 152,401.56 and 74,648

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Solution

The fourth proportional to 110,471.06, 152,401.56 and 74,648 is: 102,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,471.06 : 152,401.56 = 74,648 : x
  2. Step 2: Convert to fraction form
    110,471.06/152,401.56 = 74,648/x
  3. Step 3: Cross multiply
    110,471.06x = 152,401.56 × 74,648
  4. Step 4: Simplify right side
    110,471.06x = 11,376,471,650.88
  5. Step 5: Solve for x
    x = 11,376,471,650.88/110,471.06
  6. Step 6: Final answer
    x = 102,981.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.