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Finding the Fourth Proportional to 125,980.84, 189,014.94 and 55,909.24

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Solution

The fourth proportional to 125,980.84, 189,014.94 and 55,909.24 is: 83,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,980.84 : 189,014.94 = 55,909.24 : x
  2. Step 2: Convert to fraction form
    125,980.84/189,014.94 = 55,909.24/x
  3. Step 3: Cross multiply
    125,980.84x = 189,014.94 × 55,909.24
  4. Step 4: Simplify right side
    125,980.84x = 10,567,681,644.05
  5. Step 5: Solve for x
    x = 10,567,681,644.05/125,980.84
  6. Step 6: Final answer
    x = 83,883.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.