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Finding the Fourth Proportional to 109,728.30, 164,592.45 and 74,298.90

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Solution

The fourth proportional to 109,728.30, 164,592.45 and 74,298.90 is: 111,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,728.30 : 164,592.45 = 74,298.90 : x
  2. Step 2: Convert to fraction form
    109,728.30/164,592.45 = 74,298.90/x
  3. Step 3: Cross multiply
    109,728.30x = 164,592.45 × 74,298.90
  4. Step 4: Simplify right side
    109,728.30x = 12,229,037,983.31
  5. Step 5: Solve for x
    x = 12,229,037,983.31/109,728.30
  6. Step 6: Final answer
    x = 111,448.35

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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.