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Finding the Fourth Proportional to 188,436.30, 282,654.45 and 83,460.30

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Solution

The fourth proportional to 188,436.30, 282,654.45 and 83,460.30 is: 125,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,436.30 : 282,654.45 = 83,460.30 : x
  2. Step 2: Convert to fraction form
    188,436.30/282,654.45 = 83,460.30/x
  3. Step 3: Cross multiply
    188,436.30x = 282,654.45 × 83,460.30
  4. Step 4: Simplify right side
    188,436.30x = 23,590,425,193.34
  5. Step 5: Solve for x
    x = 23,590,425,193.34/188,436.30
  6. Step 6: Final answer
    x = 125,190.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.