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Finding the Fourth Proportional to 105,137.80, 157,731.84 and 35,017.72

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Solution

The fourth proportional to 105,137.80, 157,731.84 and 35,017.72 is: 52,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,137.80 : 157,731.84 = 35,017.72 : x
  2. Step 2: Convert to fraction form
    105,137.80/157,731.84 = 35,017.72/x
  3. Step 3: Cross multiply
    105,137.80x = 157,731.84 × 35,017.72
  4. Step 4: Simplify right side
    105,137.80x = 5,523,409,408.20
  5. Step 5: Solve for x
    x = 5,523,409,408.20/105,137.80
  6. Step 6: Final answer
    x = 52,534.95

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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.