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Finding the Fourth Proportional to 189,089.35, 260,943.35 and 103,048.36

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Solution

The fourth proportional to 189,089.35, 260,943.35 and 103,048.36 is: 142,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,089.35 : 260,943.35 = 103,048.36 : x
  2. Step 2: Convert to fraction form
    189,089.35/260,943.35 = 103,048.36/x
  3. Step 3: Cross multiply
    189,089.35x = 260,943.35 × 103,048.36
  4. Step 4: Simplify right side
    189,089.35x = 26,889,783,102.81
  5. Step 5: Solve for x
    x = 26,889,783,102.81/189,089.35
  6. Step 6: Final answer
    x = 142,206.76

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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.