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Finding the Fourth Proportional to 77,259.60, 115,662.60 and 57,625.20

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Solution

The fourth proportional to 77,259.60, 115,662.60 and 57,625.20 is: 86,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,259.60 : 115,662.60 = 57,625.20 : x
  2. Step 2: Convert to fraction form
    77,259.60/115,662.60 = 57,625.20/x
  3. Step 3: Cross multiply
    77,259.60x = 115,662.60 × 57,625.20
  4. Step 4: Simplify right side
    77,259.60x = 6,665,080,457.52
  5. Step 5: Solve for x
    x = 6,665,080,457.52/77,259.60
  6. Step 6: Final answer
    x = 86,268.64

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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.