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Finding the Fourth Proportional to 47,025.60, 70,461.60 and 40,420.80

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Solution

The fourth proportional to 47,025.60, 70,461.60 and 40,420.80 is: 60,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,025.60 : 70,461.60 = 40,420.80 : x
  2. Step 2: Convert to fraction form
    47,025.60/70,461.60 = 40,420.80/x
  3. Step 3: Cross multiply
    47,025.60x = 70,461.60 × 40,420.80
  4. Step 4: Simplify right side
    47,025.60x = 2,848,114,241.28
  5. Step 5: Solve for x
    x = 2,848,114,241.28/47,025.60
  6. Step 6: Final answer
    x = 60,565.19

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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.