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Finding the Fourth Proportional to 161,402.50, 222,735.45 and 90,746.50

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Solution

The fourth proportional to 161,402.50, 222,735.45 and 90,746.50 is: 125,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,402.50 : 222,735.45 = 90,746.50 : x
  2. Step 2: Convert to fraction form
    161,402.50/222,735.45 = 90,746.50/x
  3. Step 3: Cross multiply
    161,402.50x = 222,735.45 × 90,746.50
  4. Step 4: Simplify right side
    161,402.50x = 20,212,462,513.43
  5. Step 5: Solve for x
    x = 20,212,462,513.43/161,402.50
  6. Step 6: Final answer
    x = 125,230.17

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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.