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Finding the Fourth Proportional to 212,586.96, 318,661.68 and 94,314

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Solution

The fourth proportional to 212,586.96, 318,661.68 and 94,314 is: 141,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,586.96 : 318,661.68 = 94,314 : x
  2. Step 2: Convert to fraction form
    212,586.96/318,661.68 = 94,314/x
  3. Step 3: Cross multiply
    212,586.96x = 318,661.68 × 94,314
  4. Step 4: Simplify right side
    212,586.96x = 30,054,257,687.52
  5. Step 5: Solve for x
    x = 30,054,257,687.52/212,586.96
  6. Step 6: Final answer
    x = 141,373.95

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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.