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Finding the Fourth Proportional to 83,687.64, 115,446.09 and 53,441.16

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Solution

The fourth proportional to 83,687.64, 115,446.09 and 53,441.16 is: 73,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,687.64 : 115,446.09 = 53,441.16 : x
  2. Step 2: Convert to fraction form
    83,687.64/115,446.09 = 53,441.16/x
  3. Step 3: Cross multiply
    83,687.64x = 115,446.09 × 53,441.16
  4. Step 4: Simplify right side
    83,687.64x = 6,169,572,967.06
  5. Step 5: Solve for x
    x = 6,169,572,967.06/83,687.64
  6. Step 6: Final answer
    x = 73,721.44

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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.