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Finding the Fourth Proportional to 137,399.16, 205,794.22 and 105,574.96

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Solution

The fourth proportional to 137,399.16, 205,794.22 and 105,574.96 is: 158,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,399.16 : 205,794.22 = 105,574.96 : x
  2. Step 2: Convert to fraction form
    137,399.16/205,794.22 = 105,574.96/x
  3. Step 3: Cross multiply
    137,399.16x = 205,794.22 × 105,574.96
  4. Step 4: Simplify right side
    137,399.16x = 21,726,717,017.86
  5. Step 5: Solve for x
    x = 21,726,717,017.86/137,399.16
  6. Step 6: Final answer
    x = 158,128.46

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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.