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Finding the Fourth Proportional to 77,064.08, 115,501.60 and 43,812

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Solution

The fourth proportional to 77,064.08, 115,501.60 and 43,812 is: 65,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,064.08 : 115,501.60 = 43,812 : x
  2. Step 2: Convert to fraction form
    77,064.08/115,501.60 = 43,812/x
  3. Step 3: Cross multiply
    77,064.08x = 115,501.60 × 43,812
  4. Step 4: Simplify right side
    77,064.08x = 5,060,356,099.20
  5. Step 5: Solve for x
    x = 5,060,356,099.20/77,064.08
  6. Step 6: Final answer
    x = 65,664.26

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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.