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Finding the Fourth Proportional to 282,434.96, 423,652.16 and 72,072.87

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Solution

The fourth proportional to 282,434.96, 423,652.16 and 72,072.87 is: 108,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,434.96 : 423,652.16 = 72,072.87 : x
  2. Step 2: Convert to fraction form
    282,434.96/423,652.16 = 72,072.87/x
  3. Step 3: Cross multiply
    282,434.96x = 423,652.16 × 72,072.87
  4. Step 4: Simplify right side
    282,434.96x = 30,533,826,692.53
  5. Step 5: Solve for x
    x = 30,533,826,692.53/282,434.96
  6. Step 6: Final answer
    x = 108,109.23

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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.