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Finding the Fourth Proportional to 154,228, 230,045.57 and 140,054.08

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Solution

The fourth proportional to 154,228, 230,045.57 and 140,054.08 is: 208,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,228 : 230,045.57 = 140,054.08 : x
  2. Step 2: Convert to fraction form
    154,228/230,045.57 = 140,054.08/x
  3. Step 3: Cross multiply
    154,228x = 230,045.57 × 140,054.08
  4. Step 4: Simplify right side
    154,228x = 32,218,820,664.43
  5. Step 5: Solve for x
    x = 32,218,820,664.43/154,228
  6. Step 6: Final answer
    x = 208,903.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.