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Finding the Fourth Proportional to 107,871.40, 161,730.30 and 41,285.80

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Solution

The fourth proportional to 107,871.40, 161,730.30 and 41,285.80 is: 61,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,871.40 : 161,730.30 = 41,285.80 : x
  2. Step 2: Convert to fraction form
    107,871.40/161,730.30 = 41,285.80/x
  3. Step 3: Cross multiply
    107,871.40x = 161,730.30 × 41,285.80
  4. Step 4: Simplify right side
    107,871.40x = 6,677,164,819.74
  5. Step 5: Solve for x
    x = 6,677,164,819.74/107,871.40
  6. Step 6: Final answer
    x = 61,899.31

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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.