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Finding the Fourth Proportional to 107,973.60, 161,911.80 and 48,778.80

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Solution

The fourth proportional to 107,973.60, 161,911.80 and 48,778.80 is: 73,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,973.60 : 161,911.80 = 48,778.80 : x
  2. Step 2: Convert to fraction form
    107,973.60/161,911.80 = 48,778.80/x
  3. Step 3: Cross multiply
    107,973.60x = 161,911.80 × 48,778.80
  4. Step 4: Simplify right side
    107,973.60x = 7,897,863,309.84
  5. Step 5: Solve for x
    x = 7,897,863,309.84/107,973.60
  6. Step 6: Final answer
    x = 73,146.24

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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.