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Finding the Fourth Proportional to 189,091.49, 260,946.30 and 103,050.50

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Solution

The fourth proportional to 189,091.49, 260,946.30 and 103,050.50 is: 142,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,091.49 : 260,946.30 = 103,050.50 : x
  2. Step 2: Convert to fraction form
    189,091.49/260,946.30 = 103,050.50/x
  3. Step 3: Cross multiply
    189,091.49x = 260,946.30 × 103,050.50
  4. Step 4: Simplify right side
    189,091.49x = 26,890,646,688.15
  5. Step 5: Solve for x
    x = 26,890,646,688.15/189,091.49
  6. Step 6: Final answer
    x = 142,209.71

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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.