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Finding the Fourth Proportional to 161,477.22, 242,145.22 and 81,465.96

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Solution

The fourth proportional to 161,477.22, 242,145.22 and 81,465.96 is: 122,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,477.22 : 242,145.22 = 81,465.96 : x
  2. Step 2: Convert to fraction form
    161,477.22/242,145.22 = 81,465.96/x
  3. Step 3: Cross multiply
    161,477.22x = 242,145.22 × 81,465.96
  4. Step 4: Simplify right side
    161,477.22x = 19,726,592,806.71
  5. Step 5: Solve for x
    x = 19,726,592,806.71/161,477.22
  6. Step 6: Final answer
    x = 122,163.32

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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.