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Finding the Fourth Proportional to 218,728.72, 301,844.64 and 121,931.30

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Solution

The fourth proportional to 218,728.72, 301,844.64 and 121,931.30 is: 168,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,728.72 : 301,844.64 = 121,931.30 : x
  2. Step 2: Convert to fraction form
    218,728.72/301,844.64 = 121,931.30/x
  3. Step 3: Cross multiply
    218,728.72x = 301,844.64 × 121,931.30
  4. Step 4: Simplify right side
    218,728.72x = 36,804,309,353.23
  5. Step 5: Solve for x
    x = 36,804,309,353.23/218,728.72
  6. Step 6: Final answer
    x = 168,264.64

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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.