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Finding the Fourth Proportional to 151,654.80, 209,284.35 and 83,671.77

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Solution

The fourth proportional to 151,654.80, 209,284.35 and 83,671.77 is: 115,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,654.80 : 209,284.35 = 83,671.77 : x
  2. Step 2: Convert to fraction form
    151,654.80/209,284.35 = 83,671.77/x
  3. Step 3: Cross multiply
    151,654.80x = 209,284.35 × 83,671.77
  4. Step 4: Simplify right side
    151,654.80x = 17,511,190,533.02
  5. Step 5: Solve for x
    x = 17,511,190,533.02/151,654.80
  6. Step 6: Final answer
    x = 115,467.44

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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.