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Finding the Fourth Proportional to 117,765.20, 176,647.80 and 51,237.20

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Solution

The fourth proportional to 117,765.20, 176,647.80 and 51,237.20 is: 76,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,765.20 : 176,647.80 = 51,237.20 : x
  2. Step 2: Convert to fraction form
    117,765.20/176,647.80 = 51,237.20/x
  3. Step 3: Cross multiply
    117,765.20x = 176,647.80 × 51,237.20
  4. Step 4: Simplify right side
    117,765.20x = 9,050,938,658.16
  5. Step 5: Solve for x
    x = 9,050,938,658.16/117,765.20
  6. Step 6: Final answer
    x = 76,855.80

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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.