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Finding the Fourth Proportional to 84,705.54, 116,889.66 and 46,978.98

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Solution

The fourth proportional to 84,705.54, 116,889.66 and 46,978.98 is: 64,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,705.54 : 116,889.66 = 46,978.98 : x
  2. Step 2: Convert to fraction form
    84,705.54/116,889.66 = 46,978.98/x
  3. Step 3: Cross multiply
    84,705.54x = 116,889.66 × 46,978.98
  4. Step 4: Simplify right side
    84,705.54x = 5,491,356,999.35
  5. Step 5: Solve for x
    x = 5,491,356,999.35/84,705.54
  6. Step 6: Final answer
    x = 64,828.78

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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.