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Finding the Fourth Proportional to 108,435.78, 162,902.88 and 76,924.08

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Solution

The fourth proportional to 108,435.78, 162,902.88 and 76,924.08 is: 115,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,435.78 : 162,902.88 = 76,924.08 : x
  2. Step 2: Convert to fraction form
    108,435.78/162,902.88 = 76,924.08/x
  3. Step 3: Cross multiply
    108,435.78x = 162,902.88 × 76,924.08
  4. Step 4: Simplify right side
    108,435.78x = 12,531,154,173.35
  5. Step 5: Solve for x
    x = 12,531,154,173.35/108,435.78
  6. Step 6: Final answer
    x = 115,562.91

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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.