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Finding the Fourth Proportional to 55,178.79, 82,768.95 and 15,735.91

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Solution

The fourth proportional to 55,178.79, 82,768.95 and 15,735.91 is: 23,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178.79 : 82,768.95 = 15,735.91 : x
  2. Step 2: Convert to fraction form
    55,178.79/82,768.95 = 15,735.91/x
  3. Step 3: Cross multiply
    55,178.79x = 82,768.95 × 15,735.91
  4. Step 4: Simplify right side
    55,178.79x = 1,302,444,851.46
  5. Step 5: Solve for x
    x = 1,302,444,851.46/55,178.79
  6. Step 6: Final answer
    x = 23,604.08

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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.