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Finding the Fourth Proportional to 117,745.22, 162,459.96 and 74,709.02

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Solution

The fourth proportional to 117,745.22, 162,459.96 and 74,709.02 is: 103,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,745.22 : 162,459.96 = 74,709.02 : x
  2. Step 2: Convert to fraction form
    117,745.22/162,459.96 = 74,709.02/x
  3. Step 3: Cross multiply
    117,745.22x = 162,459.96 × 74,709.02
  4. Step 4: Simplify right side
    117,745.22x = 12,137,224,400.84
  5. Step 5: Solve for x
    x = 12,137,224,400.84/117,745.22
  6. Step 6: Final answer
    x = 103,080.40

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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.