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Finding the Fourth Proportional to 47,270.40, 70,840.80 and 38,522.40

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Solution

The fourth proportional to 47,270.40, 70,840.80 and 38,522.40 is: 57,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270.40 : 70,840.80 = 38,522.40 : x
  2. Step 2: Convert to fraction form
    47,270.40/70,840.80 = 38,522.40/x
  3. Step 3: Cross multiply
    47,270.40x = 70,840.80 × 38,522.40
  4. Step 4: Simplify right side
    47,270.40x = 2,728,957,633.92
  5. Step 5: Solve for x
    x = 2,728,957,633.92/47,270.40
  6. Step 6: Final answer
    x = 57,730.79

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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.