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Finding the Fourth Proportional to 538,102.81, 807,200.64 and 138,740.21

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Solution

The fourth proportional to 538,102.81, 807,200.64 and 138,740.21 is: 208,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,102.81 : 807,200.64 = 138,740.21 : x
  2. Step 2: Convert to fraction form
    538,102.81/807,200.64 = 138,740.21/x
  3. Step 3: Cross multiply
    538,102.81x = 807,200.64 × 138,740.21
  4. Step 4: Simplify right side
    538,102.81x = 111,991,185,296.73
  5. Step 5: Solve for x
    x = 111,991,185,296.73/538,102.81
  6. Step 6: Final answer
    x = 208,122.28

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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.