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Finding the Fourth Proportional to 538,102.08, 807,199.52 and 138,739.47

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Solution

The fourth proportional to 538,102.08, 807,199.52 and 138,739.47 is: 208,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,102.08 : 807,199.52 = 138,739.47 : x
  2. Step 2: Convert to fraction form
    538,102.08/807,199.52 = 138,739.47/x
  3. Step 3: Cross multiply
    538,102.08x = 807,199.52 × 138,739.47
  4. Step 4: Simplify right side
    538,102.08x = 111,990,432,895.36
  5. Step 5: Solve for x
    x = 111,990,432,895.36/538,102.08
  6. Step 6: Final answer
    x = 208,121.17

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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.