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Finding the Fourth Proportional to 98,811.78, 136,360.20 and 54,099.78

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Solution

The fourth proportional to 98,811.78, 136,360.20 and 54,099.78 is: 74,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,811.78 : 136,360.20 = 54,099.78 : x
  2. Step 2: Convert to fraction form
    98,811.78/136,360.20 = 54,099.78/x
  3. Step 3: Cross multiply
    98,811.78x = 136,360.20 × 54,099.78
  4. Step 4: Simplify right side
    98,811.78x = 7,377,056,820.76
  5. Step 5: Solve for x
    x = 7,377,056,820.76/98,811.78
  6. Step 6: Final answer
    x = 74,657.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.