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Finding the Fourth Proportional to 259,692.71, 390,224.03 and 139,838.27

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Solution

The fourth proportional to 259,692.71, 390,224.03 and 139,838.27 is: 210,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,692.71 : 390,224.03 = 139,838.27 : x
  2. Step 2: Convert to fraction form
    259,692.71/390,224.03 = 139,838.27/x
  3. Step 3: Cross multiply
    259,692.71x = 390,224.03 × 139,838.27
  4. Step 4: Simplify right side
    259,692.71x = 54,568,254,592.78
  5. Step 5: Solve for x
    x = 54,568,254,592.78/259,692.71
  6. Step 6: Final answer
    x = 210,126.25

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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.