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Finding the Fourth Proportional to 189,213.60, 261,119.52 and 108,656.64

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Solution

The fourth proportional to 189,213.60, 261,119.52 and 108,656.64 is: 149,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,213.60 : 261,119.52 = 108,656.64 : x
  2. Step 2: Convert to fraction form
    189,213.60/261,119.52 = 108,656.64/x
  3. Step 3: Cross multiply
    189,213.60x = 261,119.52 × 108,656.64
  4. Step 4: Simplify right side
    189,213.60x = 28,372,369,681.61
  5. Step 5: Solve for x
    x = 28,372,369,681.61/189,213.60
  6. Step 6: Final answer
    x = 149,948.89

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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.