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Finding the Fourth Proportional to 138,393.12, 190,783.44 and 98,580

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Solution

The fourth proportional to 138,393.12, 190,783.44 and 98,580 is: 135,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,393.12 : 190,783.44 = 98,580 : x
  2. Step 2: Convert to fraction form
    138,393.12/190,783.44 = 98,580/x
  3. Step 3: Cross multiply
    138,393.12x = 190,783.44 × 98,580
  4. Step 4: Simplify right side
    138,393.12x = 18,807,431,515.20
  5. Step 5: Solve for x
    x = 18,807,431,515.20/138,393.12
  6. Step 6: Final answer
    x = 135,898.60

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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.