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Finding the Fourth Proportional to 135,442.96, 186,931.96 and 84,464

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Solution

The fourth proportional to 135,442.96, 186,931.96 and 84,464 is: 116,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,442.96 : 186,931.96 = 84,464 : x
  2. Step 2: Convert to fraction form
    135,442.96/186,931.96 = 84,464/x
  3. Step 3: Cross multiply
    135,442.96x = 186,931.96 × 84,464
  4. Step 4: Simplify right side
    135,442.96x = 15,789,021,069.44
  5. Step 5: Solve for x
    x = 15,789,021,069.44/135,442.96
  6. Step 6: Final answer
    x = 116,573.21

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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.