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Finding the Fourth Proportional to 164,734.60, 247,044.30 and 85,822.60

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Solution

The fourth proportional to 164,734.60, 247,044.30 and 85,822.60 is: 128,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,734.60 : 247,044.30 = 85,822.60 : x
  2. Step 2: Convert to fraction form
    164,734.60/247,044.30 = 85,822.60/x
  3. Step 3: Cross multiply
    164,734.60x = 247,044.30 × 85,822.60
  4. Step 4: Simplify right side
    164,734.60x = 21,201,984,141.18
  5. Step 5: Solve for x
    x = 21,201,984,141.18/164,734.60
  6. Step 6: Final answer
    x = 128,703.89

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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.