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Finding the Fourth Proportional to 127,978.90, 191,968.35 and 81,438.10

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Solution

The fourth proportional to 127,978.90, 191,968.35 and 81,438.10 is: 122,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,978.90 : 191,968.35 = 81,438.10 : x
  2. Step 2: Convert to fraction form
    127,978.90/191,968.35 = 81,438.10/x
  3. Step 3: Cross multiply
    127,978.90x = 191,968.35 × 81,438.10
  4. Step 4: Simplify right side
    127,978.90x = 15,633,537,684.14
  5. Step 5: Solve for x
    x = 15,633,537,684.14/127,978.90
  6. Step 6: Final answer
    x = 122,157.15

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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.