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Finding the Fourth Proportional to 70,494.28, 105,733.74 and 28,941.40

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Solution

The fourth proportional to 70,494.28, 105,733.74 and 28,941.40 is: 43,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494.28 : 105,733.74 = 28,941.40 : x
  2. Step 2: Convert to fraction form
    70,494.28/105,733.74 = 28,941.40/x
  3. Step 3: Cross multiply
    70,494.28x = 105,733.74 × 28,941.40
  4. Step 4: Simplify right side
    70,494.28x = 3,060,082,462.84
  5. Step 5: Solve for x
    x = 3,060,082,462.84/70,494.28
  6. Step 6: Final answer
    x = 43,408.95

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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.