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Finding the Fourth Proportional to 55,383.80, 76,428.67 and 31,509.97

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Solution

The fourth proportional to 55,383.80, 76,428.67 and 31,509.97 is: 43,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,383.80 : 76,428.67 = 31,509.97 : x
  2. Step 2: Convert to fraction form
    55,383.80/76,428.67 = 31,509.97/x
  3. Step 3: Cross multiply
    55,383.80x = 76,428.67 × 31,509.97
  4. Step 4: Simplify right side
    55,383.80x = 2,408,264,828.99
  5. Step 5: Solve for x
    x = 2,408,264,828.99/55,383.80
  6. Step 6: Final answer
    x = 43,483.20

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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.