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Finding the Fourth Proportional to 285,068.40, 427,587.12 and 107,571.12

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Solution

The fourth proportional to 285,068.40, 427,587.12 and 107,571.12 is: 161,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,068.40 : 427,587.12 = 107,571.12 : x
  2. Step 2: Convert to fraction form
    285,068.40/427,587.12 = 107,571.12/x
  3. Step 3: Cross multiply
    285,068.40x = 427,587.12 × 107,571.12
  4. Step 4: Simplify right side
    285,068.40x = 45,996,025,395.97
  5. Step 5: Solve for x
    x = 45,996,025,395.97/285,068.40
  6. Step 6: Final answer
    x = 161,350.84

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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.