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Finding the Fourth Proportional to 189,032.94, 260,864.08 and 102,991.92

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Solution

The fourth proportional to 189,032.94, 260,864.08 and 102,991.92 is: 142,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,032.94 : 260,864.08 = 102,991.92 : x
  2. Step 2: Convert to fraction form
    189,032.94/260,864.08 = 102,991.92/x
  3. Step 3: Cross multiply
    189,032.94x = 260,864.08 × 102,991.92
  4. Step 4: Simplify right side
    189,032.94x = 26,866,892,458.23
  5. Step 5: Solve for x
    x = 26,866,892,458.23/189,032.94
  6. Step 6: Final answer
    x = 142,128.10

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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.