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Finding the Fourth Proportional to 69,798.38, 104,657.78 and 47,638.58

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Solution

The fourth proportional to 69,798.38, 104,657.78 and 47,638.58 is: 71,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,798.38 : 104,657.78 = 47,638.58 : x
  2. Step 2: Convert to fraction form
    69,798.38/104,657.78 = 47,638.58/x
  3. Step 3: Cross multiply
    69,798.38x = 104,657.78 × 47,638.58
  4. Step 4: Simplify right side
    69,798.38x = 4,985,748,025.15
  5. Step 5: Solve for x
    x = 4,985,748,025.15/69,798.38
  6. Step 6: Final answer
    x = 71,430.71

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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.