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Finding the Fourth Proportional to 55,213, 76,189.14 and 31,340.68

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Solution

The fourth proportional to 55,213, 76,189.14 and 31,340.68 is: 43,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,213 : 76,189.14 = 31,340.68 : x
  2. Step 2: Convert to fraction form
    55,213/76,189.14 = 31,340.68/x
  3. Step 3: Cross multiply
    55,213x = 76,189.14 × 31,340.68
  4. Step 4: Simplify right side
    55,213x = 2,387,819,456.22
  5. Step 5: Solve for x
    x = 2,387,819,456.22/55,213
  6. Step 6: Final answer
    x = 43,247.41

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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.