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Finding the Fourth Proportional to 77,778, 107,333.64 and 42,450

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Solution

The fourth proportional to 77,778, 107,333.64 and 42,450 is: 58,581

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,778 : 107,333.64 = 42,450 : x
  2. Step 2: Convert to fraction form
    77,778/107,333.64 = 42,450/x
  3. Step 3: Cross multiply
    77,778x = 107,333.64 × 42,450
  4. Step 4: Simplify right side
    77,778x = 4,556,313,018
  5. Step 5: Solve for x
    x = 4,556,313,018/77,778
  6. Step 6: Final answer
    x = 58,581

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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.