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Finding the Fourth Proportional to 127,811.20, 191,803.20 and 71,651.20

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Solution

The fourth proportional to 127,811.20, 191,803.20 and 71,651.20 is: 107,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,811.20 : 191,803.20 = 71,651.20 : x
  2. Step 2: Convert to fraction form
    127,811.20/191,803.20 = 71,651.20/x
  3. Step 3: Cross multiply
    127,811.20x = 191,803.20 × 71,651.20
  4. Step 4: Simplify right side
    127,811.20x = 13,742,929,443.84
  5. Step 5: Solve for x
    x = 13,742,929,443.84/127,811.20
  6. Step 6: Final answer
    x = 107,525.24

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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.