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Finding the Fourth Proportional to 148,643.96, 205,070.26 and 84,947.58

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Solution

The fourth proportional to 148,643.96, 205,070.26 and 84,947.58 is: 117,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,643.96 : 205,070.26 = 84,947.58 : x
  2. Step 2: Convert to fraction form
    148,643.96/205,070.26 = 84,947.58/x
  3. Step 3: Cross multiply
    148,643.96x = 205,070.26 × 84,947.58
  4. Step 4: Simplify right side
    148,643.96x = 17,420,222,316.97
  5. Step 5: Solve for x
    x = 17,420,222,316.97/148,643.96
  6. Step 6: Final answer
    x = 117,194.28

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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.