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Finding the Fourth Proportional to 119,978.16, 165,571.20 and 66,261.93

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Solution

The fourth proportional to 119,978.16, 165,571.20 and 66,261.93 is: 91,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978.16 : 165,571.20 = 66,261.93 : x
  2. Step 2: Convert to fraction form
    119,978.16/165,571.20 = 66,261.93/x
  3. Step 3: Cross multiply
    119,978.16x = 165,571.20 × 66,261.93
  4. Step 4: Simplify right side
    119,978.16x = 10,971,067,264.42
  5. Step 5: Solve for x
    x = 10,971,067,264.42/119,978.16
  6. Step 6: Final answer
    x = 91,442.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.