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Finding the Fourth Proportional to 119,851.64, 165,395.74 and 66,138.20

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Solution

The fourth proportional to 119,851.64, 165,395.74 and 66,138.20 is: 91,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,851.64 : 165,395.74 = 66,138.20 : x
  2. Step 2: Convert to fraction form
    119,851.64/165,395.74 = 66,138.20/x
  3. Step 3: Cross multiply
    119,851.64x = 165,395.74 × 66,138.20
  4. Step 4: Simplify right side
    119,851.64x = 10,938,976,531.27
  5. Step 5: Solve for x
    x = 10,938,976,531.27/119,851.64
  6. Step 6: Final answer
    x = 91,270.98

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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.