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Finding the Fourth Proportional to 118,848.31, 164,010.90 and 65,135.32

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Solution

The fourth proportional to 118,848.31, 164,010.90 and 65,135.32 is: 89,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,848.31 : 164,010.90 = 65,135.32 : x
  2. Step 2: Convert to fraction form
    118,848.31/164,010.90 = 65,135.32/x
  3. Step 3: Cross multiply
    118,848.31x = 164,010.90 × 65,135.32
  4. Step 4: Simplify right side
    118,848.31x = 10,682,902,454.99
  5. Step 5: Solve for x
    x = 10,682,902,454.99/118,848.31
  6. Step 6: Final answer
    x = 89,886.87

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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.