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Finding the Fourth Proportional to 283,804.96, 425,584.06 and 81,356.48

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Solution

The fourth proportional to 283,804.96, 425,584.06 and 81,356.48 is: 121,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,804.96 : 425,584.06 = 81,356.48 : x
  2. Step 2: Convert to fraction form
    283,804.96/425,584.06 = 81,356.48/x
  3. Step 3: Cross multiply
    283,804.96x = 425,584.06 × 81,356.48
  4. Step 4: Simplify right side
    283,804.96x = 34,624,021,065.71
  5. Step 5: Solve for x
    x = 34,624,021,065.71/283,804.96
  6. Step 6: Final answer
    x = 121,999.35

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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.