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Finding the Fourth Proportional to 189,036, 260,861.28 and 102,995.28

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Solution

The fourth proportional to 189,036, 260,861.28 and 102,995.28 is: 142,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,036 : 260,861.28 = 102,995.28 : x
  2. Step 2: Convert to fraction form
    189,036/260,861.28 = 102,995.28/x
  3. Step 3: Cross multiply
    189,036x = 260,861.28 × 102,995.28
  4. Step 4: Simplify right side
    189,036x = 26,867,480,574.76
  5. Step 5: Solve for x
    x = 26,867,480,574.76/189,036
  6. Step 6: Final answer
    x = 142,128.91

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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.