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Finding the Fourth Proportional to 197,643.94, 272,748.30 and 106,999.87

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Solution

The fourth proportional to 197,643.94, 272,748.30 and 106,999.87 is: 147,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,643.94 : 272,748.30 = 106,999.87 : x
  2. Step 2: Convert to fraction form
    197,643.94/272,748.30 = 106,999.87/x
  3. Step 3: Cross multiply
    197,643.94x = 272,748.30 × 106,999.87
  4. Step 4: Simplify right side
    197,643.94x = 29,184,032,642.72
  5. Step 5: Solve for x
    x = 29,184,032,642.72/197,643.94
  6. Step 6: Final answer
    x = 147,659.64

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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.