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Finding the Fourth Proportional to 285,036.81, 427,680.37 and 107,502.32

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Solution

The fourth proportional to 285,036.81, 427,680.37 and 107,502.32 is: 161,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,036.81 : 427,680.37 = 107,502.32 : x
  2. Step 2: Convert to fraction form
    285,036.81/427,680.37 = 107,502.32/x
  3. Step 3: Cross multiply
    285,036.81x = 427,680.37 × 107,502.32
  4. Step 4: Simplify right side
    285,036.81x = 45,976,633,197.04
  5. Step 5: Solve for x
    x = 45,976,633,197.04/285,036.81
  6. Step 6: Final answer
    x = 161,300.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.