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Finding the Fourth Proportional to 76,668.45, 105,784.37 and 64,450.32

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Solution

The fourth proportional to 76,668.45, 105,784.37 and 64,450.32 is: 88,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668.45 : 105,784.37 = 64,450.32 : x
  2. Step 2: Convert to fraction form
    76,668.45/105,784.37 = 64,450.32/x
  3. Step 3: Cross multiply
    76,668.45x = 105,784.37 × 64,450.32
  4. Step 4: Simplify right side
    76,668.45x = 6,817,836,175.25
  5. Step 5: Solve for x
    x = 6,817,836,175.25/76,668.45
  6. Step 6: Final answer
    x = 88,926.23

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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.