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Finding the Fourth Proportional to 76,735.64, 105,911.53 and 51,570.56

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Solution

The fourth proportional to 76,735.64, 105,911.53 and 51,570.56 is: 71,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,735.64 : 105,911.53 = 51,570.56 : x
  2. Step 2: Convert to fraction form
    76,735.64/105,911.53 = 51,570.56/x
  3. Step 3: Cross multiply
    76,735.64x = 105,911.53 × 51,570.56
  4. Step 4: Simplify right side
    76,735.64x = 5,461,917,048.41
  5. Step 5: Solve for x
    x = 5,461,917,048.41/76,735.64
  6. Step 6: Final answer
    x = 71,178.36

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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.