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Finding the Fourth Proportional to 53,684, 80,548.74 and 28,717.50

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Solution

The fourth proportional to 53,684, 80,548.74 and 28,717.50 is: 43,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,684 : 80,548.74 = 28,717.50 : x
  2. Step 2: Convert to fraction form
    53,684/80,548.74 = 28,717.50/x
  3. Step 3: Cross multiply
    53,684x = 80,548.74 × 28,717.50
  4. Step 4: Simplify right side
    53,684x = 2,313,158,440.95
  5. Step 5: Solve for x
    x = 2,313,158,440.95/53,684
  6. Step 6: Final answer
    x = 43,088.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.