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Finding the Fourth Proportional to 71,014.88, 106,420.79 and 52,146.89

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Solution

The fourth proportional to 71,014.88, 106,420.79 and 52,146.89 is: 78,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,014.88 : 106,420.79 = 52,146.89 : x
  2. Step 2: Convert to fraction form
    71,014.88/106,420.79 = 52,146.89/x
  3. Step 3: Cross multiply
    71,014.88x = 106,420.79 × 52,146.89
  4. Step 4: Simplify right side
    71,014.88x = 5,549,512,969.11
  5. Step 5: Solve for x
    x = 5,549,512,969.11/71,014.88
  6. Step 6: Final answer
    x = 78,145.78

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1.5x scale

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.