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Finding the Fourth Proportional to 76,846.93, 106,049.23 and 42,857.58

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Solution

The fourth proportional to 76,846.93, 106,049.23 and 42,857.58 is: 59,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,846.93 : 106,049.23 = 42,857.58 : x
  2. Step 2: Convert to fraction form
    76,846.93/106,049.23 = 42,857.58/x
  3. Step 3: Cross multiply
    76,846.93x = 106,049.23 × 42,857.58
  4. Step 4: Simplify right side
    76,846.93x = 4,545,013,358.66
  5. Step 5: Solve for x
    x = 4,545,013,358.66/76,846.93
  6. Step 6: Final answer
    x = 59,143.72

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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.