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Finding the Fourth Proportional to 55,424.45, 83,148.96 and 15,978.48

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Solution

The fourth proportional to 55,424.45, 83,148.96 and 15,978.48 is: 23,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,424.45 : 83,148.96 = 15,978.48 : x
  2. Step 2: Convert to fraction form
    55,424.45/83,148.96 = 15,978.48/x
  3. Step 3: Cross multiply
    55,424.45x = 83,148.96 × 15,978.48
  4. Step 4: Simplify right side
    55,424.45x = 1,328,593,994.38
  5. Step 5: Solve for x
    x = 1,328,593,994.38/55,424.45
  6. Step 6: Final answer
    x = 23,971.26

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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.