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Finding the Fourth Proportional to 81,830.40, 122,572.80 and 73,075.20

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Solution

The fourth proportional to 81,830.40, 122,572.80 and 73,075.20 is: 109,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,830.40 : 122,572.80 = 73,075.20 : x
  2. Step 2: Convert to fraction form
    81,830.40/122,572.80 = 73,075.20/x
  3. Step 3: Cross multiply
    81,830.40x = 122,572.80 × 73,075.20
  4. Step 4: Simplify right side
    81,830.40x = 8,957,031,874.56
  5. Step 5: Solve for x
    x = 8,957,031,874.56/81,830.40
  6. Step 6: Final answer
    x = 109,458.49

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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.