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Finding the Fourth Proportional to 164,617.12, 246,886.80 and 75,815.20

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Solution

The fourth proportional to 164,617.12, 246,886.80 and 75,815.20 is: 113,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,617.12 : 246,886.80 = 75,815.20 : x
  2. Step 2: Convert to fraction form
    164,617.12/246,886.80 = 75,815.20/x
  3. Step 3: Cross multiply
    164,617.12x = 246,886.80 × 75,815.20
  4. Step 4: Simplify right side
    164,617.12x = 18,717,772,119.36
  5. Step 5: Solve for x
    x = 18,717,772,119.36/164,617.12
  6. Step 6: Final answer
    x = 113,704.89

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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.