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Finding the Fourth Proportional to 103,851.78, 155,721.93 and 53,807.76

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Solution

The fourth proportional to 103,851.78, 155,721.93 and 53,807.76 is: 80,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,851.78 : 155,721.93 = 53,807.76 : x
  2. Step 2: Convert to fraction form
    103,851.78/155,721.93 = 53,807.76/x
  3. Step 3: Cross multiply
    103,851.78x = 155,721.93 × 53,807.76
  4. Step 4: Simplify right side
    103,851.78x = 8,379,048,236.18
  5. Step 5: Solve for x
    x = 8,379,048,236.18/103,851.78
  6. Step 6: Final answer
    x = 80,682.76

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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.