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Finding the Fourth Proportional to 189,276.95, 261,202.50 and 103,236

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Solution

The fourth proportional to 189,276.95, 261,202.50 and 103,236 is: 142,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,276.95 : 261,202.50 = 103,236 : x
  2. Step 2: Convert to fraction form
    189,276.95/261,202.50 = 103,236/x
  3. Step 3: Cross multiply
    189,276.95x = 261,202.50 × 103,236
  4. Step 4: Simplify right side
    189,276.95x = 26,965,501,290
  5. Step 5: Solve for x
    x = 26,965,501,290/189,276.95
  6. Step 6: Final answer
    x = 142,465.85

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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.