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Finding the Fourth Proportional to 268,655.68, 402,968.93 and 81,652.60

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Solution

The fourth proportional to 268,655.68, 402,968.93 and 81,652.60 is: 122,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,655.68 : 402,968.93 = 81,652.60 : x
  2. Step 2: Convert to fraction form
    268,655.68/402,968.93 = 81,652.60/x
  3. Step 3: Cross multiply
    268,655.68x = 402,968.93 × 81,652.60
  4. Step 4: Simplify right side
    268,655.68x = 32,903,460,853.72
  5. Step 5: Solve for x
    x = 32,903,460,853.72/268,655.68
  6. Step 6: Final answer
    x = 122,474.47

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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.