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Finding the Fourth Proportional to 47,271.60, 70,761.60 and 42,022.80

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Solution

The fourth proportional to 47,271.60, 70,761.60 and 42,022.80 is: 62,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,271.60 : 70,761.60 = 42,022.80 : x
  2. Step 2: Convert to fraction form
    47,271.60/70,761.60 = 42,022.80/x
  3. Step 3: Cross multiply
    47,271.60x = 70,761.60 × 42,022.80
  4. Step 4: Simplify right side
    47,271.60x = 2,973,600,564.48
  5. Step 5: Solve for x
    x = 2,973,600,564.48/47,271.60
  6. Step 6: Final answer
    x = 62,904.59

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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.