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Finding the Fourth Proportional to 259,558.84, 389,338.62 and 72,570.16

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Solution

The fourth proportional to 259,558.84, 389,338.62 and 72,570.16 is: 108,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,558.84 : 389,338.62 = 72,570.16 : x
  2. Step 2: Convert to fraction form
    259,558.84/389,338.62 = 72,570.16/x
  3. Step 3: Cross multiply
    259,558.84x = 389,338.62 × 72,570.16
  4. Step 4: Simplify right side
    259,558.84x = 28,254,365,947.58
  5. Step 5: Solve for x
    x = 28,254,365,947.58/259,558.84
  6. Step 6: Final answer
    x = 108,855.34

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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.