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Finding the Fourth Proportional to 76,807, 115,255.86 and 32,430.88

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Solution

The fourth proportional to 76,807, 115,255.86 and 32,430.88 is: 48,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807 : 115,255.86 = 32,430.88 : x
  2. Step 2: Convert to fraction form
    76,807/115,255.86 = 32,430.88/x
  3. Step 3: Cross multiply
    76,807x = 115,255.86 × 32,430.88
  4. Step 4: Simplify right side
    76,807x = 3,737,848,964.96
  5. Step 5: Solve for x
    x = 3,737,848,964.96/76,807
  6. Step 6: Final answer
    x = 48,665.47

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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.