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Finding the Fourth Proportional to 71,164.40, 106,746.60 and 39,671.60

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Solution

The fourth proportional to 71,164.40, 106,746.60 and 39,671.60 is: 59,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164.40 : 106,746.60 = 39,671.60 : x
  2. Step 2: Convert to fraction form
    71,164.40/106,746.60 = 39,671.60/x
  3. Step 3: Cross multiply
    71,164.40x = 106,746.60 × 39,671.60
  4. Step 4: Simplify right side
    71,164.40x = 4,234,808,416.56
  5. Step 5: Solve for x
    x = 4,234,808,416.56/71,164.40
  6. Step 6: Final answer
    x = 59,507.40

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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.