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Finding the Fourth Proportional to 189,040, 260,866.80 and 102,999.28

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Solution

The fourth proportional to 189,040, 260,866.80 and 102,999.28 is: 142,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,040 : 260,866.80 = 102,999.28 : x
  2. Step 2: Convert to fraction form
    189,040/260,866.80 = 102,999.28/x
  3. Step 3: Cross multiply
    189,040x = 260,866.80 × 102,999.28
  4. Step 4: Simplify right side
    189,040x = 26,869,092,575.90
  5. Step 5: Solve for x
    x = 26,869,092,575.90/189,040
  6. Step 6: Final answer
    x = 142,134.43

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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.