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Finding the Fourth Proportional to 55,670, 76,824.60 and 30,519.68

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Solution

The fourth proportional to 55,670, 76,824.60 and 30,519.68 is: 42,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,670 : 76,824.60 = 30,519.68 : x
  2. Step 2: Convert to fraction form
    55,670/76,824.60 = 30,519.68/x
  3. Step 3: Cross multiply
    55,670x = 76,824.60 × 30,519.68
  4. Step 4: Simplify right side
    55,670x = 2,344,662,208.13
  5. Step 5: Solve for x
    x = 2,344,662,208.13/55,670
  6. Step 6: Final answer
    x = 42,117.16

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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.