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Finding the Fourth Proportional to 102,913.60, 154,370.40 and 36,355.90

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Solution

The fourth proportional to 102,913.60, 154,370.40 and 36,355.90 is: 54,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,913.60 : 154,370.40 = 36,355.90 : x
  2. Step 2: Convert to fraction form
    102,913.60/154,370.40 = 36,355.90/x
  3. Step 3: Cross multiply
    102,913.60x = 154,370.40 × 36,355.90
  4. Step 4: Simplify right side
    102,913.60x = 5,612,274,825.36
  5. Step 5: Solve for x
    x = 5,612,274,825.36/102,913.60
  6. Step 6: Final answer
    x = 54,533.85

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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.