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Finding the Fourth Proportional to 537,128.25, 805,692.57 and 137,769.03

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Solution

The fourth proportional to 537,128.25, 805,692.57 and 137,769.03 is: 206,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,128.25 : 805,692.57 = 137,769.03 : x
  2. Step 2: Convert to fraction form
    537,128.25/805,692.57 = 137,769.03/x
  3. Step 3: Cross multiply
    537,128.25x = 805,692.57 × 137,769.03
  4. Step 4: Simplify right side
    537,128.25x = 110,999,483,847.11
  5. Step 5: Solve for x
    x = 110,999,483,847.11/537,128.25
  6. Step 6: Final answer
    x = 206,653.60

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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.