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Finding the Fourth Proportional to 76,566.75, 105,662.12 and 43,032.75

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Solution

The fourth proportional to 76,566.75, 105,662.12 and 43,032.75 is: 59,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566.75 : 105,662.12 = 43,032.75 : x
  2. Step 2: Convert to fraction form
    76,566.75/105,662.12 = 43,032.75/x
  3. Step 3: Cross multiply
    76,566.75x = 105,662.12 × 43,032.75
  4. Step 4: Simplify right side
    76,566.75x = 4,546,931,379.27
  5. Step 5: Solve for x
    x = 4,546,931,379.27/76,566.75
  6. Step 6: Final answer
    x = 59,385.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.