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Finding the Fourth Proportional to 81,002.40, 121,503.60 and 78,815.40

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Solution

The fourth proportional to 81,002.40, 121,503.60 and 78,815.40 is: 118,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,002.40 : 121,503.60 = 78,815.40 : x
  2. Step 2: Convert to fraction form
    81,002.40/121,503.60 = 78,815.40/x
  3. Step 3: Cross multiply
    81,002.40x = 121,503.60 × 78,815.40
  4. Step 4: Simplify right side
    81,002.40x = 9,576,354,835.44
  5. Step 5: Solve for x
    x = 9,576,354,835.44/81,002.40
  6. Step 6: Final answer
    x = 118,223.10

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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.