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Finding the Fourth Proportional to 205,438.64, 308,318.64 and 105,594.80

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Solution

The fourth proportional to 205,438.64, 308,318.64 and 105,594.80 is: 158,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,438.64 : 308,318.64 = 105,594.80 : x
  2. Step 2: Convert to fraction form
    205,438.64/308,318.64 = 105,594.80/x
  3. Step 3: Cross multiply
    205,438.64x = 308,318.64 × 105,594.80
  4. Step 4: Simplify right side
    205,438.64x = 32,556,845,127.07
  5. Step 5: Solve for x
    x = 32,556,845,127.07/205,438.64
  6. Step 6: Final answer
    x = 158,474.79

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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.