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Finding the Fourth Proportional to 145,406.88, 218,016.36 and 69,474.24

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Solution

The fourth proportional to 145,406.88, 218,016.36 and 69,474.24 is: 104,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,406.88 : 218,016.36 = 69,474.24 : x
  2. Step 2: Convert to fraction form
    145,406.88/218,016.36 = 69,474.24/x
  3. Step 3: Cross multiply
    145,406.88x = 218,016.36 × 69,474.24
  4. Step 4: Simplify right side
    145,406.88x = 15,146,520,918.57
  5. Step 5: Solve for x
    x = 15,146,520,918.57/145,406.88
  6. Step 6: Final answer
    x = 104,166.47

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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.