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Finding the Fourth Proportional to 53,898.98, 80,828.76 and 20,602.58

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Solution

The fourth proportional to 53,898.98, 80,828.76 and 20,602.58 is: 30,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,898.98 : 80,828.76 = 20,602.58 : x
  2. Step 2: Convert to fraction form
    53,898.98/80,828.76 = 20,602.58/x
  3. Step 3: Cross multiply
    53,898.98x = 80,828.76 × 20,602.58
  4. Step 4: Simplify right side
    53,898.98x = 1,665,280,994.20
  5. Step 5: Solve for x
    x = 1,665,280,994.20/53,898.98
  6. Step 6: Final answer
    x = 30,896.34

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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.