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Finding the Fourth Proportional to 107,628.10, 161,442.30 and 51,455

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Solution

The fourth proportional to 107,628.10, 161,442.30 and 51,455 is: 77,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,628.10 : 161,442.30 = 51,455 : x
  2. Step 2: Convert to fraction form
    107,628.10/161,442.30 = 51,455/x
  3. Step 3: Cross multiply
    107,628.10x = 161,442.30 × 51,455
  4. Step 4: Simplify right side
    107,628.10x = 8,307,013,546.50
  5. Step 5: Solve for x
    x = 8,307,013,546.50/107,628.10
  6. Step 6: Final answer
    x = 77,182.57

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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.