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Finding the Fourth Proportional to 154,325.76, 212,874.20 and 105,905.58

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Solution

The fourth proportional to 154,325.76, 212,874.20 and 105,905.58 is: 146,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,325.76 : 212,874.20 = 105,905.58 : x
  2. Step 2: Convert to fraction form
    154,325.76/212,874.20 = 105,905.58/x
  3. Step 3: Cross multiply
    154,325.76x = 212,874.20 × 105,905.58
  4. Step 4: Simplify right side
    154,325.76x = 22,544,565,618.04
  5. Step 5: Solve for x
    x = 22,544,565,618.04/154,325.76
  6. Step 6: Final answer
    x = 146,084.27

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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.