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Finding the Fourth Proportional to 47,364.14, 70,978.40 and 34,785.50

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Solution

The fourth proportional to 47,364.14, 70,978.40 and 34,785.50 is: 52,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364.14 : 70,978.40 = 34,785.50 : x
  2. Step 2: Convert to fraction form
    47,364.14/70,978.40 = 34,785.50/x
  3. Step 3: Cross multiply
    47,364.14x = 70,978.40 × 34,785.50
  4. Step 4: Simplify right side
    47,364.14x = 2,469,019,133.20
  5. Step 5: Solve for x
    x = 2,469,019,133.20/47,364.14
  6. Step 6: Final answer
    x = 52,128.45

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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.