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Finding the Fourth Proportional to 78,128.86, 107,788.08 and 57,759.85

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Solution

The fourth proportional to 78,128.86, 107,788.08 and 57,759.85 is: 79,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128.86 : 107,788.08 = 57,759.85 : x
  2. Step 2: Convert to fraction form
    78,128.86/107,788.08 = 57,759.85/x
  3. Step 3: Cross multiply
    78,128.86x = 107,788.08 × 57,759.85
  4. Step 4: Simplify right side
    78,128.86x = 6,225,823,332.59
  5. Step 5: Solve for x
    x = 6,225,823,332.59/78,128.86
  6. Step 6: Final answer
    x = 79,686.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.