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Finding the Fourth Proportional to 109,363.70, 164,110.35 and 72,030.80

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Solution

The fourth proportional to 109,363.70, 164,110.35 and 72,030.80 is: 108,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,363.70 : 164,110.35 = 72,030.80 : x
  2. Step 2: Convert to fraction form
    109,363.70/164,110.35 = 72,030.80/x
  3. Step 3: Cross multiply
    109,363.70x = 164,110.35 × 72,030.80
  4. Step 4: Simplify right side
    109,363.70x = 11,820,999,798.78
  5. Step 5: Solve for x
    x = 11,820,999,798.78/109,363.70
  6. Step 6: Final answer
    x = 108,088.88

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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.