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Finding the Fourth Proportional to 77,285.76, 106,645.60 and 43,289.60

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Solution

The fourth proportional to 77,285.76, 106,645.60 and 43,289.60 is: 59,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,285.76 : 106,645.60 = 43,289.60 : x
  2. Step 2: Convert to fraction form
    77,285.76/106,645.60 = 43,289.60/x
  3. Step 3: Cross multiply
    77,285.76x = 106,645.60 × 43,289.60
  4. Step 4: Simplify right side
    77,285.76x = 4,616,645,365.76
  5. Step 5: Solve for x
    x = 4,616,645,365.76/77,285.76
  6. Step 6: Final answer
    x = 59,734.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.