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Finding the Fourth Proportional to 56,351.92, 77,762.20 and 30,858.58

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Solution

The fourth proportional to 56,351.92, 77,762.20 and 30,858.58 is: 42,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,351.92 : 77,762.20 = 30,858.58 : x
  2. Step 2: Convert to fraction form
    56,351.92/77,762.20 = 30,858.58/x
  3. Step 3: Cross multiply
    56,351.92x = 77,762.20 × 30,858.58
  4. Step 4: Simplify right side
    56,351.92x = 2,399,631,069.68
  5. Step 5: Solve for x
    x = 2,399,631,069.68/56,351.92
  6. Step 6: Final answer
    x = 42,582.95

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1.5x scale

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.