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Finding the Fourth Proportional to 47,002.20, 70,512.90 and 15,840.60

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Solution

The fourth proportional to 47,002.20, 70,512.90 and 15,840.60 is: 23,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,002.20 : 70,512.90 = 15,840.60 : x
  2. Step 2: Convert to fraction form
    47,002.20/70,512.90 = 15,840.60/x
  3. Step 3: Cross multiply
    47,002.20x = 70,512.90 × 15,840.60
  4. Step 4: Simplify right side
    47,002.20x = 1,116,966,643.74
  5. Step 5: Solve for x
    x = 1,116,966,643.74/47,002.20
  6. Step 6: Final answer
    x = 23,764.14

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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.