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Finding the Fourth Proportional to 99,732.40, 149,339.40 and 78,823.60

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Solution

The fourth proportional to 99,732.40, 149,339.40 and 78,823.60 is: 118,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,732.40 : 149,339.40 = 78,823.60 : x
  2. Step 2: Convert to fraction form
    99,732.40/149,339.40 = 78,823.60/x
  3. Step 3: Cross multiply
    99,732.40x = 149,339.40 × 78,823.60
  4. Step 4: Simplify right side
    99,732.40x = 11,771,469,129.84
  5. Step 5: Solve for x
    x = 11,771,469,129.84/99,732.40
  6. Step 6: Final answer
    x = 118,030.54

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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.