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Finding the Fourth Proportional to 77,425.26, 116,143.30 and 30,678

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Solution

The fourth proportional to 77,425.26, 116,143.30 and 30,678 is: 46,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,425.26 : 116,143.30 = 30,678 : x
  2. Step 2: Convert to fraction form
    77,425.26/116,143.30 = 30,678/x
  3. Step 3: Cross multiply
    77,425.26x = 116,143.30 × 30,678
  4. Step 4: Simplify right side
    77,425.26x = 3,563,044,157.40
  5. Step 5: Solve for x
    x = 3,563,044,157.40/77,425.26
  6. Step 6: Final answer
    x = 46,019.14

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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.