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Finding the Fourth Proportional to 268,401, 402,603.93 and 81,412.50

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Solution

The fourth proportional to 268,401, 402,603.93 and 81,412.50 is: 122,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,401 : 402,603.93 = 81,412.50 : x
  2. Step 2: Convert to fraction form
    268,401/402,603.93 = 81,412.50/x
  3. Step 3: Cross multiply
    268,401x = 402,603.93 × 81,412.50
  4. Step 4: Simplify right side
    268,401x = 32,776,992,451.13
  5. Step 5: Solve for x
    x = 32,776,992,451.13/268,401
  6. Step 6: Final answer
    x = 122,119.49

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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.