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Finding the Fourth Proportional to 211,921.50, 292,477.60 and 122,497.50

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Solution

The fourth proportional to 211,921.50, 292,477.60 and 122,497.50 is: 169,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,921.50 : 292,477.60 = 122,497.50 : x
  2. Step 2: Convert to fraction form
    211,921.50/292,477.60 = 122,497.50/x
  3. Step 3: Cross multiply
    211,921.50x = 292,477.60 × 122,497.50
  4. Step 4: Simplify right side
    211,921.50x = 35,827,774,806
  5. Step 5: Solve for x
    x = 35,827,774,806/211,921.50
  6. Step 6: Final answer
    x = 169,061.54

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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.