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Finding the Fourth Proportional to 50,801.50, 70,106.28 and 28,140

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Solution

The fourth proportional to 50,801.50, 70,106.28 and 28,140 is: 38,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,801.50 : 70,106.28 = 28,140 : x
  2. Step 2: Convert to fraction form
    50,801.50/70,106.28 = 28,140/x
  3. Step 3: Cross multiply
    50,801.50x = 70,106.28 × 28,140
  4. Step 4: Simplify right side
    50,801.50x = 1,972,790,719.20
  5. Step 5: Solve for x
    x = 1,972,790,719.20/50,801.50
  6. Step 6: Final answer
    x = 38,833.32

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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.