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Finding the Fourth Proportional to 255,720.90, 383,692.16 and 137,253.81

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Solution

The fourth proportional to 255,720.90, 383,692.16 and 137,253.81 is: 205,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,720.90 : 383,692.16 = 137,253.81 : x
  2. Step 2: Convert to fraction form
    255,720.90/383,692.16 = 137,253.81/x
  3. Step 3: Cross multiply
    255,720.90x = 383,692.16 × 137,253.81
  4. Step 4: Simplify right side
    255,720.90x = 52,663,210,827.13
  5. Step 5: Solve for x
    x = 52,663,210,827.13/255,720.90
  6. Step 6: Final answer
    x = 205,940.19

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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.