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Finding the Fourth Proportional to 51,370, 70,890.60 and 29,014

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Solution

The fourth proportional to 51,370, 70,890.60 and 29,014 is: 40,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,370 : 70,890.60 = 29,014 : x
  2. Step 2: Convert to fraction form
    51,370/70,890.60 = 29,014/x
  3. Step 3: Cross multiply
    51,370x = 70,890.60 × 29,014
  4. Step 4: Simplify right side
    51,370x = 2,056,819,868.40
  5. Step 5: Solve for x
    x = 2,056,819,868.40/51,370
  6. Step 6: Final answer
    x = 40,039.32

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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.