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Finding the Fourth Proportional to 76,953.45, 106,195.26 and 42,960

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Solution

The fourth proportional to 76,953.45, 106,195.26 and 42,960 is: 59,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,953.45 : 106,195.26 = 42,960 : x
  2. Step 2: Convert to fraction form
    76,953.45/106,195.26 = 42,960/x
  3. Step 3: Cross multiply
    76,953.45x = 106,195.26 × 42,960
  4. Step 4: Simplify right side
    76,953.45x = 4,562,148,369.60
  5. Step 5: Solve for x
    x = 4,562,148,369.60/76,953.45
  6. Step 6: Final answer
    x = 59,284.52

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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.