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Finding the Fourth Proportional to 76,700.54, 105,879.40 and 51,564.62

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Solution

The fourth proportional to 76,700.54, 105,879.40 and 51,564.62 is: 71,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,700.54 : 105,879.40 = 51,564.62 : x
  2. Step 2: Convert to fraction form
    76,700.54/105,879.40 = 51,564.62/x
  3. Step 3: Cross multiply
    76,700.54x = 105,879.40 × 51,564.62
  4. Step 4: Simplify right side
    76,700.54x = 5,459,630,497.43
  5. Step 5: Solve for x
    x = 5,459,630,497.43/76,700.54
  6. Step 6: Final answer
    x = 71,181.13

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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.