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Finding the Fourth Proportional to 76,938.60, 115,440.30 and 37,475.40

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Solution

The fourth proportional to 76,938.60, 115,440.30 and 37,475.40 is: 56,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,938.60 : 115,440.30 = 37,475.40 : x
  2. Step 2: Convert to fraction form
    76,938.60/115,440.30 = 37,475.40/x
  3. Step 3: Cross multiply
    76,938.60x = 115,440.30 × 37,475.40
  4. Step 4: Simplify right side
    76,938.60x = 4,326,171,418.62
  5. Step 5: Solve for x
    x = 4,326,171,418.62/76,938.60
  6. Step 6: Final answer
    x = 56,228.88

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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.