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Finding the Fourth Proportional to 76,569, 105,665.22 and 43,035

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Solution

The fourth proportional to 76,569, 105,665.22 and 43,035 is: 59,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,569 : 105,665.22 = 43,035 : x
  2. Step 2: Convert to fraction form
    76,569/105,665.22 = 43,035/x
  3. Step 3: Cross multiply
    76,569x = 105,665.22 × 43,035
  4. Step 4: Simplify right side
    76,569x = 4,547,302,742.70
  5. Step 5: Solve for x
    x = 4,547,302,742.70/76,569
  6. Step 6: Final answer
    x = 59,388.30

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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.