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Finding the Fourth Proportional to 56,321.87, 77,720.85 and 30,823.20

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Solution

The fourth proportional to 56,321.87, 77,720.85 and 30,823.20 is: 42,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,321.87 : 77,720.85 = 30,823.20 : x
  2. Step 2: Convert to fraction form
    56,321.87/77,720.85 = 30,823.20/x
  3. Step 3: Cross multiply
    56,321.87x = 77,720.85 × 30,823.20
  4. Step 4: Simplify right side
    56,321.87x = 2,395,605,303.72
  5. Step 5: Solve for x
    x = 2,395,605,303.72/56,321.87
  6. Step 6: Final answer
    x = 42,534.20

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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.