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Finding the Fourth Proportional to 73,778, 110,560.64 and 42,090.38

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Solution

The fourth proportional to 73,778, 110,560.64 and 42,090.38 is: 63,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,778 : 110,560.64 = 42,090.38 : x
  2. Step 2: Convert to fraction form
    73,778/110,560.64 = 42,090.38/x
  3. Step 3: Cross multiply
    73,778x = 110,560.64 × 42,090.38
  4. Step 4: Simplify right side
    73,778x = 4,653,539,350.64
  5. Step 5: Solve for x
    x = 4,653,539,350.64/73,778
  6. Step 6: Final answer
    x = 63,074.89

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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.