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Finding the Fourth Proportional to 51,194, 70,648.80 and 28,838

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Solution

The fourth proportional to 51,194, 70,648.80 and 28,838 is: 39,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,194 : 70,648.80 = 28,838 : x
  2. Step 2: Convert to fraction form
    51,194/70,648.80 = 28,838/x
  3. Step 3: Cross multiply
    51,194x = 70,648.80 × 28,838
  4. Step 4: Simplify right side
    51,194x = 2,037,370,094.40
  5. Step 5: Solve for x
    x = 2,037,370,094.40/51,194
  6. Step 6: Final answer
    x = 39,797.05

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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.