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Finding the Fourth Proportional to 538,103.93, 807,202.35 and 138,741.30

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Solution

The fourth proportional to 538,103.93, 807,202.35 and 138,741.30 is: 208,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,103.93 : 807,202.35 = 138,741.30 : x
  2. Step 2: Convert to fraction form
    538,103.93/807,202.35 = 138,741.30/x
  3. Step 3: Cross multiply
    538,103.93x = 807,202.35 × 138,741.30
  4. Step 4: Simplify right side
    538,103.93x = 111,992,303,402.06
  5. Step 5: Solve for x
    x = 111,992,303,402.06/538,103.93
  6. Step 6: Final answer
    x = 208,123.93

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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.