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Finding the Fourth Proportional to 53,139.36, 79,745.28 and 34,428

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Solution

The fourth proportional to 53,139.36, 79,745.28 and 34,428 is: 51,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,139.36 : 79,745.28 = 34,428 : x
  2. Step 2: Convert to fraction form
    53,139.36/79,745.28 = 34,428/x
  3. Step 3: Cross multiply
    53,139.36x = 79,745.28 × 34,428
  4. Step 4: Simplify right side
    53,139.36x = 2,745,470,499.84
  5. Step 5: Solve for x
    x = 2,745,470,499.84/53,139.36
  6. Step 6: Final answer
    x = 51,665.48

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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.