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Finding the Fourth Proportional to 47,978.96, 66,212.52 and 26,759.12

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Solution

The fourth proportional to 47,978.96, 66,212.52 and 26,759.12 is: 36,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.96 : 66,212.52 = 26,759.12 : x
  2. Step 2: Convert to fraction form
    47,978.96/66,212.52 = 26,759.12/x
  3. Step 3: Cross multiply
    47,978.96x = 66,212.52 × 26,759.12
  4. Step 4: Simplify right side
    47,978.96x = 1,771,788,768.18
  5. Step 5: Solve for x
    x = 1,771,788,768.18/47,978.96
  6. Step 6: Final answer
    x = 36,928.45

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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.