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Finding the Fourth Proportional to 109,401.80, 164,102.70 and 102,020.68

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Solution

The fourth proportional to 109,401.80, 164,102.70 and 102,020.68 is: 153,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,401.80 : 164,102.70 = 102,020.68 : x
  2. Step 2: Convert to fraction form
    109,401.80/164,102.70 = 102,020.68/x
  3. Step 3: Cross multiply
    109,401.80x = 164,102.70 × 102,020.68
  4. Step 4: Simplify right side
    109,401.80x = 16,741,868,223.32
  5. Step 5: Solve for x
    x = 16,741,868,223.32/109,401.80
  6. Step 6: Final answer
    x = 153,031.01

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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.