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Finding the Fourth Proportional to 109,570.70, 164,420.85 and 72,238.70

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Solution

The fourth proportional to 109,570.70, 164,420.85 and 72,238.70 is: 108,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,570.70 : 164,420.85 = 72,238.70 : x
  2. Step 2: Convert to fraction form
    109,570.70/164,420.85 = 72,238.70/x
  3. Step 3: Cross multiply
    109,570.70x = 164,420.85 × 72,238.70
  4. Step 4: Simplify right side
    109,570.70x = 11,877,548,456.90
  5. Step 5: Solve for x
    x = 11,877,548,456.90/109,570.70
  6. Step 6: Final answer
    x = 108,400.77

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1.5x scale

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.