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Finding the Fourth Proportional to 103,674.02, 155,322.14 and 72,017.14

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Solution

The fourth proportional to 103,674.02, 155,322.14 and 72,017.14 is: 107,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674.02 : 155,322.14 = 72,017.14 : x
  2. Step 2: Convert to fraction form
    103,674.02/155,322.14 = 72,017.14/x
  3. Step 3: Cross multiply
    103,674.02x = 155,322.14 × 72,017.14
  4. Step 4: Simplify right side
    103,674.02x = 11,185,856,301.48
  5. Step 5: Solve for x
    x = 11,185,856,301.48/103,674.02
  6. Step 6: Final answer
    x = 107,894.50

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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.