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Finding the Fourth Proportional to 81,207, 112,076.46 and 47,673

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Solution

The fourth proportional to 81,207, 112,076.46 and 47,673 is: 65,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,207 : 112,076.46 = 47,673 : x
  2. Step 2: Convert to fraction form
    81,207/112,076.46 = 47,673/x
  3. Step 3: Cross multiply
    81,207x = 112,076.46 × 47,673
  4. Step 4: Simplify right side
    81,207x = 5,343,021,077.58
  5. Step 5: Solve for x
    x = 5,343,021,077.58/81,207
  6. Step 6: Final answer
    x = 65,795.08

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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.