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Finding the Fourth Proportional to 65,154, 97,731.41 and 18,407.28

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Solution

The fourth proportional to 65,154, 97,731.41 and 18,407.28 is: 27,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,154 : 97,731.41 = 18,407.28 : x
  2. Step 2: Convert to fraction form
    65,154/97,731.41 = 18,407.28/x
  3. Step 3: Cross multiply
    65,154x = 97,731.41 × 18,407.28
  4. Step 4: Simplify right side
    65,154x = 1,798,969,336.63
  5. Step 5: Solve for x
    x = 1,798,969,336.63/65,154
  6. Step 6: Final answer
    x = 27,611.03

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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.