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Finding the Fourth Proportional to 138,405.12, 190,800 and 98,592

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Solution

The fourth proportional to 138,405.12, 190,800 and 98,592 is: 135,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.12 : 190,800 = 98,592 : x
  2. Step 2: Convert to fraction form
    138,405.12/190,800 = 98,592/x
  3. Step 3: Cross multiply
    138,405.12x = 190,800 × 98,592
  4. Step 4: Simplify right side
    138,405.12x = 18,811,353,600
  5. Step 5: Solve for x
    x = 18,811,353,600/138,405.12
  6. Step 6: Final answer
    x = 135,915.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.