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Finding the Fourth Proportional to 147,505, 221,238.66 and 47,654.83

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Solution

The fourth proportional to 147,505, 221,238.66 and 47,654.83 is: 71,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,505 : 221,238.66 = 47,654.83 : x
  2. Step 2: Convert to fraction form
    147,505/221,238.66 = 47,654.83/x
  3. Step 3: Cross multiply
    147,505x = 221,238.66 × 47,654.83
  4. Step 4: Simplify right side
    147,505x = 10,543,090,731.73
  5. Step 5: Solve for x
    x = 10,543,090,731.73/147,505
  6. Step 6: Final answer
    x = 71,476.16

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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.