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Finding the Fourth Proportional to 189,009.12, 260,852.40 and 108,444

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Solution

The fourth proportional to 189,009.12, 260,852.40 and 108,444 is: 149,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,009.12 : 260,852.40 = 108,444 : x
  2. Step 2: Convert to fraction form
    189,009.12/260,852.40 = 108,444/x
  3. Step 3: Cross multiply
    189,009.12x = 260,852.40 × 108,444
  4. Step 4: Simplify right side
    189,009.12x = 28,287,877,665.60
  5. Step 5: Solve for x
    x = 28,287,877,665.60/189,009.12
  6. Step 6: Final answer
    x = 149,664.09

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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.