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Finding the Fourth Proportional to 110,711.80, 165,954.30 and 54,465.40

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Solution

The fourth proportional to 110,711.80, 165,954.30 and 54,465.40 is: 81,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,711.80 : 165,954.30 = 54,465.40 : x
  2. Step 2: Convert to fraction form
    110,711.80/165,954.30 = 54,465.40/x
  3. Step 3: Cross multiply
    110,711.80x = 165,954.30 × 54,465.40
  4. Step 4: Simplify right side
    110,711.80x = 9,038,767,331.22
  5. Step 5: Solve for x
    x = 9,038,767,331.22/110,711.80
  6. Step 6: Final answer
    x = 81,642.31

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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.