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Finding the Fourth Proportional to 76,712.48, 105,895.98 and 51,576.56

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Solution

The fourth proportional to 76,712.48, 105,895.98 and 51,576.56 is: 71,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,712.48 : 105,895.98 = 51,576.56 : x
  2. Step 2: Convert to fraction form
    76,712.48/105,895.98 = 51,576.56/x
  3. Step 3: Cross multiply
    76,712.48x = 105,895.98 × 51,576.56
  4. Step 4: Simplify right side
    76,712.48x = 5,461,750,366.23
  5. Step 5: Solve for x
    x = 5,461,750,366.23/76,712.48
  6. Step 6: Final answer
    x = 71,197.68

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1.5x scale

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.