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Finding the Fourth Proportional to 50,798.50, 70,102.14 and 28,137

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Solution

The fourth proportional to 50,798.50, 70,102.14 and 28,137 is: 38,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,798.50 : 70,102.14 = 28,137 : x
  2. Step 2: Convert to fraction form
    50,798.50/70,102.14 = 28,137/x
  3. Step 3: Cross multiply
    50,798.50x = 70,102.14 × 28,137
  4. Step 4: Simplify right side
    50,798.50x = 1,972,463,913.18
  5. Step 5: Solve for x
    x = 1,972,463,913.18/50,798.50
  6. Step 6: Final answer
    x = 38,829.18

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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.