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Finding the Fourth Proportional to 189,050.82, 260,888.64 and 103,009.50

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Solution

The fourth proportional to 189,050.82, 260,888.64 and 103,009.50 is: 142,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,050.82 : 260,888.64 = 103,009.50 : x
  2. Step 2: Convert to fraction form
    189,050.82/260,888.64 = 103,009.50/x
  3. Step 3: Cross multiply
    189,050.82x = 260,888.64 × 103,009.50
  4. Step 4: Simplify right side
    189,050.82x = 26,874,008,362.08
  5. Step 5: Solve for x
    x = 26,874,008,362.08/189,050.82
  6. Step 6: Final answer
    x = 142,152.30

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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.