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Finding the Fourth Proportional to 98,776.80, 148,122 and 28,654.56

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Solution

The fourth proportional to 98,776.80, 148,122 and 28,654.56 is: 42,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,776.80 : 148,122 = 28,654.56 : x
  2. Step 2: Convert to fraction form
    98,776.80/148,122 = 28,654.56/x
  3. Step 3: Cross multiply
    98,776.80x = 148,122 × 28,654.56
  4. Step 4: Simplify right side
    98,776.80x = 4,244,370,736.32
  5. Step 5: Solve for x
    x = 4,244,370,736.32/98,776.80
  6. Step 6: Final answer
    x = 42,969.31

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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.