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Finding the Fourth Proportional to 76,978.60, 115,410.30 and 41,957.80

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Solution

The fourth proportional to 76,978.60, 115,410.30 and 41,957.80 is: 62,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,978.60 : 115,410.30 = 41,957.80 : x
  2. Step 2: Convert to fraction form
    76,978.60/115,410.30 = 41,957.80/x
  3. Step 3: Cross multiply
    76,978.60x = 115,410.30 × 41,957.80
  4. Step 4: Simplify right side
    76,978.60x = 4,842,362,285.34
  5. Step 5: Solve for x
    x = 4,842,362,285.34/76,978.60
  6. Step 6: Final answer
    x = 62,905.30

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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.