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Finding the Fourth Proportional to 103,674.46, 155,323.06 and 72,017.64

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Solution

The fourth proportional to 103,674.46, 155,323.06 and 72,017.64 is: 107,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674.46 : 155,323.06 = 72,017.64 : x
  2. Step 2: Convert to fraction form
    103,674.46/155,323.06 = 72,017.64/x
  3. Step 3: Cross multiply
    103,674.46x = 155,323.06 × 72,017.64
  4. Step 4: Simplify right side
    103,674.46x = 11,186,000,218.78
  5. Step 5: Solve for x
    x = 11,186,000,218.78/103,674.46
  6. Step 6: Final answer
    x = 107,895.43

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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.