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Finding the Fourth Proportional to 125,930.40, 189,041.40 and 76,066.80

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Solution

The fourth proportional to 125,930.40, 189,041.40 and 76,066.80 is: 114,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,930.40 : 189,041.40 = 76,066.80 : x
  2. Step 2: Convert to fraction form
    125,930.40/189,041.40 = 76,066.80/x
  3. Step 3: Cross multiply
    125,930.40x = 189,041.40 × 76,066.80
  4. Step 4: Simplify right side
    125,930.40x = 14,379,774,365.52
  5. Step 5: Solve for x
    x = 14,379,774,365.52/125,930.40
  6. Step 6: Final answer
    x = 114,188.27

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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.