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Finding the Fourth Proportional to 189,068.21, 260,910.76 and 103,027.94

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Solution

The fourth proportional to 189,068.21, 260,910.76 and 103,027.94 is: 142,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,068.21 : 260,910.76 = 103,027.94 : x
  2. Step 2: Convert to fraction form
    189,068.21/260,910.76 = 103,027.94/x
  3. Step 3: Cross multiply
    189,068.21x = 260,910.76 × 103,027.94
  4. Step 4: Simplify right side
    189,068.21x = 26,881,098,126.63
  5. Step 5: Solve for x
    x = 26,881,098,126.63/189,068.21
  6. Step 6: Final answer
    x = 142,176.72

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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.