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Finding the Fourth Proportional to 189,273.60, 283,319.76 and 139,410

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Solution

The fourth proportional to 189,273.60, 283,319.76 and 139,410 is: 208,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,273.60 : 283,319.76 = 139,410 : x
  2. Step 2: Convert to fraction form
    189,273.60/283,319.76 = 139,410/x
  3. Step 3: Cross multiply
    189,273.60x = 283,319.76 × 139,410
  4. Step 4: Simplify right side
    189,273.60x = 39,497,607,741.60
  5. Step 5: Solve for x
    x = 39,497,607,741.60/189,273.60
  6. Step 6: Final answer
    x = 208,679.96

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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.