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Finding the Fourth Proportional to 220,090, 303,724.56 and 119,488

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Solution

The fourth proportional to 220,090, 303,724.56 and 119,488 is: 164,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,090 : 303,724.56 = 119,488 : x
  2. Step 2: Convert to fraction form
    220,090/303,724.56 = 119,488/x
  3. Step 3: Cross multiply
    220,090x = 303,724.56 × 119,488
  4. Step 4: Simplify right side
    220,090x = 36,291,440,225.28
  5. Step 5: Solve for x
    x = 36,291,440,225.28/220,090
  6. Step 6: Final answer
    x = 164,893.64

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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.