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Finding the Fourth Proportional to 110,155.68, 165,140.10 and 43,642.80

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Solution

The fourth proportional to 110,155.68, 165,140.10 and 43,642.80 is: 65,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,155.68 : 165,140.10 = 43,642.80 : x
  2. Step 2: Convert to fraction form
    110,155.68/165,140.10 = 43,642.80/x
  3. Step 3: Cross multiply
    110,155.68x = 165,140.10 × 43,642.80
  4. Step 4: Simplify right side
    110,155.68x = 7,207,176,356.28
  5. Step 5: Solve for x
    x = 7,207,176,356.28/110,155.68
  6. Step 6: Final answer
    x = 65,427.19

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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.