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Finding the Fourth Proportional to 145,993.32, 218,971.06 and 46,163.56

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Solution

The fourth proportional to 145,993.32, 218,971.06 and 46,163.56 is: 69,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,993.32 : 218,971.06 = 46,163.56 : x
  2. Step 2: Convert to fraction form
    145,993.32/218,971.06 = 46,163.56/x
  3. Step 3: Cross multiply
    145,993.32x = 218,971.06 × 46,163.56
  4. Step 4: Simplify right side
    145,993.32x = 10,108,483,666.57
  5. Step 5: Solve for x
    x = 10,108,483,666.57/145,993.32
  6. Step 6: Final answer
    x = 69,239.36

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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.