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Finding the Fourth Proportional to 56,313.63, 77,712.83 and 30,819.98

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Solution

The fourth proportional to 56,313.63, 77,712.83 and 30,819.98 is: 42,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,313.63 : 77,712.83 = 30,819.98 : x
  2. Step 2: Convert to fraction form
    56,313.63/77,712.83 = 30,819.98/x
  3. Step 3: Cross multiply
    56,313.63x = 77,712.83 × 30,819.98
  4. Step 4: Simplify right side
    56,313.63x = 2,395,107,758.33
  5. Step 5: Solve for x
    x = 2,395,107,758.33/56,313.63
  6. Step 6: Final answer
    x = 42,531.58

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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.