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Finding the Fourth Proportional to 71,907.60, 99,232.98 and 40,078.55

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Solution

The fourth proportional to 71,907.60, 99,232.98 and 40,078.55 is: 55,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,907.60 : 99,232.98 = 40,078.55 : x
  2. Step 2: Convert to fraction form
    71,907.60/99,232.98 = 40,078.55/x
  3. Step 3: Cross multiply
    71,907.60x = 99,232.98 × 40,078.55
  4. Step 4: Simplify right side
    71,907.60x = 3,977,113,254.02
  5. Step 5: Solve for x
    x = 3,977,113,254.02/71,907.60
  6. Step 6: Final answer
    x = 55,308.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.