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Finding the Fourth Proportional to 109,686, 164,529.03 and 39,565.31

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Solution

The fourth proportional to 109,686, 164,529.03 and 39,565.31 is: 59,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,686 : 164,529.03 = 39,565.31 : x
  2. Step 2: Convert to fraction form
    109,686/164,529.03 = 39,565.31/x
  3. Step 3: Cross multiply
    109,686x = 164,529.03 × 39,565.31
  4. Step 4: Simplify right side
    109,686x = 6,509,641,055.48
  5. Step 5: Solve for x
    x = 6,509,641,055.48/109,686
  6. Step 6: Final answer
    x = 59,347.97

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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.