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Finding the Fourth Proportional to 51,950.90, 77,897.55 and 20,750.90

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Solution

The fourth proportional to 51,950.90, 77,897.55 and 20,750.90 is: 31,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,950.90 : 77,897.55 = 20,750.90 : x
  2. Step 2: Convert to fraction form
    51,950.90/77,897.55 = 20,750.90/x
  3. Step 3: Cross multiply
    51,950.90x = 77,897.55 × 20,750.90
  4. Step 4: Simplify right side
    51,950.90x = 1,616,444,270.30
  5. Step 5: Solve for x
    x = 1,616,444,270.30/51,950.90
  6. Step 6: Final answer
    x = 31,114.85

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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.