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Finding the Fourth Proportional to 55,172.52, 82,771.68 and 15,730.20

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Solution

The fourth proportional to 55,172.52, 82,771.68 and 15,730.20 is: 23,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,172.52 : 82,771.68 = 15,730.20 : x
  2. Step 2: Convert to fraction form
    55,172.52/82,771.68 = 15,730.20/x
  3. Step 3: Cross multiply
    55,172.52x = 82,771.68 × 15,730.20
  4. Step 4: Simplify right side
    55,172.52x = 1,302,015,080.74
  5. Step 5: Solve for x
    x = 1,302,015,080.74/55,172.52
  6. Step 6: Final answer
    x = 23,598.98

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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.