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Finding the Fourth Proportional to 103,686.86, 155,524.80 and 51,078.57

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Solution

The fourth proportional to 103,686.86, 155,524.80 and 51,078.57 is: 76,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686.86 : 155,524.80 = 51,078.57 : x
  2. Step 2: Convert to fraction form
    103,686.86/155,524.80 = 51,078.57/x
  3. Step 3: Cross multiply
    103,686.86x = 155,524.80 × 51,078.57
  4. Step 4: Simplify right side
    103,686.86x = 7,943,984,383.54
  5. Step 5: Solve for x
    x = 7,943,984,383.54/103,686.86
  6. Step 6: Final answer
    x = 76,615.15

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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.