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Finding the Fourth Proportional to 229,994.07, 317,361.78 and 128,023.83

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Solution

The fourth proportional to 229,994.07, 317,361.78 and 128,023.83 is: 176,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,994.07 : 317,361.78 = 128,023.83 : x
  2. Step 2: Convert to fraction form
    229,994.07/317,361.78 = 128,023.83/x
  3. Step 3: Cross multiply
    229,994.07x = 317,361.78 × 128,023.83
  4. Step 4: Simplify right side
    229,994.07x = 40,629,869,854.88
  5. Step 5: Solve for x
    x = 40,629,869,854.88/229,994.07
  6. Step 6: Final answer
    x = 176,656.16

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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.