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Finding the Fourth Proportional to 52,287, 78,386.40 and 22,682.54

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Solution

The fourth proportional to 52,287, 78,386.40 and 22,682.54 is: 34,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,287 : 78,386.40 = 22,682.54 : x
  2. Step 2: Convert to fraction form
    52,287/78,386.40 = 22,682.54/x
  3. Step 3: Cross multiply
    52,287x = 78,386.40 × 22,682.54
  4. Step 4: Simplify right side
    52,287x = 1,778,002,653.46
  5. Step 5: Solve for x
    x = 1,778,002,653.46/52,287
  6. Step 6: Final answer
    x = 34,004.68

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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.