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Finding the Fourth Proportional to 189,339.14, 283,738.05 and 139,024.47

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Solution

The fourth proportional to 189,339.14, 283,738.05 and 139,024.47 is: 208,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,339.14 : 283,738.05 = 139,024.47 : x
  2. Step 2: Convert to fraction form
    189,339.14/283,738.05 = 139,024.47/x
  3. Step 3: Cross multiply
    189,339.14x = 283,738.05 × 139,024.47
  4. Step 4: Simplify right side
    189,339.14x = 39,446,532,020.08
  5. Step 5: Solve for x
    x = 39,446,532,020.08/189,339.14
  6. Step 6: Final answer
    x = 208,337.98

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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.