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Finding the Fourth Proportional to 161,475, 222,835.50 and 90,819

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Solution

The fourth proportional to 161,475, 222,835.50 and 90,819 is: 125,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,475 : 222,835.50 = 90,819 : x
  2. Step 2: Convert to fraction form
    161,475/222,835.50 = 90,819/x
  3. Step 3: Cross multiply
    161,475x = 222,835.50 × 90,819
  4. Step 4: Simplify right side
    161,475x = 20,237,697,274.50
  5. Step 5: Solve for x
    x = 20,237,697,274.50/161,475
  6. Step 6: Final answer
    x = 125,330.22

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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.