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Finding the Fourth Proportional to 135,409.96, 186,886.38 and 84,431

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Solution

The fourth proportional to 135,409.96, 186,886.38 and 84,431 is: 116,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,409.96 : 186,886.38 = 84,431 : x
  2. Step 2: Convert to fraction form
    135,409.96/186,886.38 = 84,431/x
  3. Step 3: Cross multiply
    135,409.96x = 186,886.38 × 84,431
  4. Step 4: Simplify right side
    135,409.96x = 15,779,003,949.78
  5. Step 5: Solve for x
    x = 15,779,003,949.78/135,409.96
  6. Step 6: Final answer
    x = 116,527.65

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1.5x scale

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.