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Finding the Fourth Proportional to 135,412.96, 186,890.52 and 84,434

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Solution

The fourth proportional to 135,412.96, 186,890.52 and 84,434 is: 116,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,412.96 : 186,890.52 = 84,434 : x
  2. Step 2: Convert to fraction form
    135,412.96/186,890.52 = 84,434/x
  3. Step 3: Cross multiply
    135,412.96x = 186,890.52 × 84,434
  4. Step 4: Simplify right side
    135,412.96x = 15,779,914,165.68
  5. Step 5: Solve for x
    x = 15,779,914,165.68/135,412.96
  6. Step 6: Final answer
    x = 116,531.79

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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.