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Finding the Fourth Proportional to 217,973.12, 300,804.48 and 122,480

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Solution

The fourth proportional to 217,973.12, 300,804.48 and 122,480 is: 169,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,973.12 : 300,804.48 = 122,480 : x
  2. Step 2: Convert to fraction form
    217,973.12/300,804.48 = 122,480/x
  3. Step 3: Cross multiply
    217,973.12x = 300,804.48 × 122,480
  4. Step 4: Simplify right side
    217,973.12x = 36,842,532,710.40
  5. Step 5: Solve for x
    x = 36,842,532,710.40/217,973.12
  6. Step 6: Final answer
    x = 169,023.28

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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.