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Finding the Fourth Proportional to 268,409, 402,615.93 and 81,420.50

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Solution

The fourth proportional to 268,409, 402,615.93 and 81,420.50 is: 122,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,409 : 402,615.93 = 81,420.50 : x
  2. Step 2: Convert to fraction form
    268,409/402,615.93 = 81,420.50/x
  3. Step 3: Cross multiply
    268,409x = 402,615.93 × 81,420.50
  4. Step 4: Simplify right side
    268,409x = 32,781,190,328.57
  5. Step 5: Solve for x
    x = 32,781,190,328.57/268,409
  6. Step 6: Final answer
    x = 122,131.49

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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.