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Finding the Fourth Proportional to 149,752.40, 206,490.44 and 102,033.68

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Solution

The fourth proportional to 149,752.40, 206,490.44 and 102,033.68 is: 140,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,752.40 : 206,490.44 = 102,033.68 : x
  2. Step 2: Convert to fraction form
    149,752.40/206,490.44 = 102,033.68/x
  3. Step 3: Cross multiply
    149,752.40x = 206,490.44 × 102,033.68
  4. Step 4: Simplify right side
    149,752.40x = 21,068,979,478.02
  5. Step 5: Solve for x
    x = 21,068,979,478.02/149,752.40
  6. Step 6: Final answer
    x = 140,692.10

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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.