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Finding the Fourth Proportional to 108,084.60, 162,005.40 and 51,951.60

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Solution

The fourth proportional to 108,084.60, 162,005.40 and 51,951.60 is: 77,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,084.60 : 162,005.40 = 51,951.60 : x
  2. Step 2: Convert to fraction form
    108,084.60/162,005.40 = 51,951.60/x
  3. Step 3: Cross multiply
    108,084.60x = 162,005.40 × 51,951.60
  4. Step 4: Simplify right side
    108,084.60x = 8,416,439,738.64
  5. Step 5: Solve for x
    x = 8,416,439,738.64/108,084.60
  6. Step 6: Final answer
    x = 77,869.00

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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.