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Finding the Fourth Proportional to 98,741.60, 148,112.40 and 84,015.80

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Solution

The fourth proportional to 98,741.60, 148,112.40 and 84,015.80 is: 126,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,741.60 : 148,112.40 = 84,015.80 : x
  2. Step 2: Convert to fraction form
    98,741.60/148,112.40 = 84,015.80/x
  3. Step 3: Cross multiply
    98,741.60x = 148,112.40 × 84,015.80
  4. Step 4: Simplify right side
    98,741.60x = 12,443,781,775.92
  5. Step 5: Solve for x
    x = 12,443,781,775.92/98,741.60
  6. Step 6: Final answer
    x = 126,023.70

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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.