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Finding the Fourth Proportional to 50,602, 69,830.80 and 28,246

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Solution

The fourth proportional to 50,602, 69,830.80 and 28,246 is: 38,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,602 : 69,830.80 = 28,246 : x
  2. Step 2: Convert to fraction form
    50,602/69,830.80 = 28,246/x
  3. Step 3: Cross multiply
    50,602x = 69,830.80 × 28,246
  4. Step 4: Simplify right side
    50,602x = 1,972,440,776.80
  5. Step 5: Solve for x
    x = 1,972,440,776.80/50,602
  6. Step 6: Final answer
    x = 38,979.50

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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.