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Finding the Fourth Proportional to 127,048.61, 190,318.80 and 76,419.68

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Solution

The fourth proportional to 127,048.61, 190,318.80 and 76,419.68 is: 114,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,048.61 : 190,318.80 = 76,419.68 : x
  2. Step 2: Convert to fraction form
    127,048.61/190,318.80 = 76,419.68/x
  3. Step 3: Cross multiply
    127,048.61x = 190,318.80 × 76,419.68
  4. Step 4: Simplify right side
    127,048.61x = 14,544,100,842.39
  5. Step 5: Solve for x
    x = 14,544,100,842.39/127,048.61
  6. Step 6: Final answer
    x = 114,476.67

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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.