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Finding the Fourth Proportional to 84,240.94, 126,352.76 and 28,075

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Solution

The fourth proportional to 84,240.94, 126,352.76 and 28,075 is: 42,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,240.94 : 126,352.76 = 28,075 : x
  2. Step 2: Convert to fraction form
    84,240.94/126,352.76 = 28,075/x
  3. Step 3: Cross multiply
    84,240.94x = 126,352.76 × 28,075
  4. Step 4: Simplify right side
    84,240.94x = 3,547,353,737
  5. Step 5: Solve for x
    x = 3,547,353,737/84,240.94
  6. Step 6: Final answer
    x = 42,109.62

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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.