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Finding the Fourth Proportional to 76,838.49, 106,033.05 and 42,850.49

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Solution

The fourth proportional to 76,838.49, 106,033.05 and 42,850.49 is: 59,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,838.49 : 106,033.05 = 42,850.49 : x
  2. Step 2: Convert to fraction form
    76,838.49/106,033.05 = 42,850.49/x
  3. Step 3: Cross multiply
    76,838.49x = 106,033.05 × 42,850.49
  4. Step 4: Simplify right side
    76,838.49x = 4,543,567,618.53
  5. Step 5: Solve for x
    x = 4,543,567,618.53/76,838.49
  6. Step 6: Final answer
    x = 59,131.40

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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.