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Finding the Fourth Proportional to 268,776.68, 403,223.32 and 81,783.32

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Solution

The fourth proportional to 268,776.68, 403,223.32 and 81,783.32 is: 122,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,776.68 : 403,223.32 = 81,783.32 : x
  2. Step 2: Convert to fraction form
    268,776.68/403,223.32 = 81,783.32/x
  3. Step 3: Cross multiply
    268,776.68x = 403,223.32 × 81,783.32
  4. Step 4: Simplify right side
    268,776.68x = 32,976,941,811.02
  5. Step 5: Solve for x
    x = 32,976,941,811.02/268,776.68
  6. Step 6: Final answer
    x = 122,692.72

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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.