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Finding the Fourth Proportional to 76,389.20, 114,612.60 and 36,981.20

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Solution

The fourth proportional to 76,389.20, 114,612.60 and 36,981.20 is: 55,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,389.20 : 114,612.60 = 36,981.20 : x
  2. Step 2: Convert to fraction form
    76,389.20/114,612.60 = 36,981.20/x
  3. Step 3: Cross multiply
    76,389.20x = 114,612.60 × 36,981.20
  4. Step 4: Simplify right side
    76,389.20x = 4,238,511,483.12
  5. Step 5: Solve for x
    x = 4,238,511,483.12/76,389.20
  6. Step 6: Final answer
    x = 55,485.74

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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.