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Finding the Fourth Proportional to 285,059.16, 427,649.82 and 105,145.20

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Solution

The fourth proportional to 285,059.16, 427,649.82 and 105,145.20 is: 157,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,059.16 : 427,649.82 = 105,145.20 : x
  2. Step 2: Convert to fraction form
    285,059.16/427,649.82 = 105,145.20/x
  3. Step 3: Cross multiply
    285,059.16x = 427,649.82 × 105,145.20
  4. Step 4: Simplify right side
    285,059.16x = 44,965,325,853.86
  5. Step 5: Solve for x
    x = 44,965,325,853.86/285,059.16
  6. Step 6: Final answer
    x = 157,740.33

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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.