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Finding the Fourth Proportional to 55,186, 76,156.68 and 30,035.68

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Solution

The fourth proportional to 55,186, 76,156.68 and 30,035.68 is: 41,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,186 : 76,156.68 = 30,035.68 : x
  2. Step 2: Convert to fraction form
    55,186/76,156.68 = 30,035.68/x
  3. Step 3: Cross multiply
    55,186x = 76,156.68 × 30,035.68
  4. Step 4: Simplify right side
    55,186x = 2,287,417,670.34
  5. Step 5: Solve for x
    x = 2,287,417,670.34/55,186
  6. Step 6: Final answer
    x = 41,449.24

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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.