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Finding the Fourth Proportional to 105,983.84, 158,958.48 and 39,408.32

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Solution

The fourth proportional to 105,983.84, 158,958.48 and 39,408.32 is: 59,106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,983.84 : 158,958.48 = 39,408.32 : x
  2. Step 2: Convert to fraction form
    105,983.84/158,958.48 = 39,408.32/x
  3. Step 3: Cross multiply
    105,983.84x = 158,958.48 × 39,408.32
  4. Step 4: Simplify right side
    105,983.84x = 6,264,286,646.55
  5. Step 5: Solve for x
    x = 6,264,286,646.55/105,983.84
  6. Step 6: Final answer
    x = 59,106.05

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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.