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Finding the Fourth Proportional to 55,806.87, 77,014.05 and 30,313.47

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Solution

The fourth proportional to 55,806.87, 77,014.05 and 30,313.47 is: 41,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,806.87 : 77,014.05 = 30,313.47 : x
  2. Step 2: Convert to fraction form
    55,806.87/77,014.05 = 30,313.47/x
  3. Step 3: Cross multiply
    55,806.87x = 77,014.05 × 30,313.47
  4. Step 4: Simplify right side
    55,806.87x = 2,334,563,094.25
  5. Step 5: Solve for x
    x = 2,334,563,094.25/55,806.87
  6. Step 6: Final answer
    x = 41,832.90

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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.