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Finding the Fourth Proportional to 76,236, 105,205.68 and 42,702

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Solution

The fourth proportional to 76,236, 105,205.68 and 42,702 is: 58,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,236 : 105,205.68 = 42,702 : x
  2. Step 2: Convert to fraction form
    76,236/105,205.68 = 42,702/x
  3. Step 3: Cross multiply
    76,236x = 105,205.68 × 42,702
  4. Step 4: Simplify right side
    76,236x = 4,492,492,947.36
  5. Step 5: Solve for x
    x = 4,492,492,947.36/76,236
  6. Step 6: Final answer
    x = 58,928.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.