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Finding the Fourth Proportional to 82,836, 124,256.88 and 27,430.56

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Solution

The fourth proportional to 82,836, 124,256.88 and 27,430.56 is: 41,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,836 : 124,256.88 = 27,430.56 : x
  2. Step 2: Convert to fraction form
    82,836/124,256.88 = 27,430.56/x
  3. Step 3: Cross multiply
    82,836x = 124,256.88 × 27,430.56
  4. Step 4: Simplify right side
    82,836x = 3,408,435,802.25
  5. Step 5: Solve for x
    x = 3,408,435,802.25/82,836
  6. Step 6: Final answer
    x = 41,146.79

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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.