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Finding the Fourth Proportional to 55,857, 77,084.14 and 30,365.08

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Solution

The fourth proportional to 55,857, 77,084.14 and 30,365.08 is: 41,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,857 : 77,084.14 = 30,365.08 : x
  2. Step 2: Convert to fraction form
    55,857/77,084.14 = 30,365.08/x
  3. Step 3: Cross multiply
    55,857x = 77,084.14 × 30,365.08
  4. Step 4: Simplify right side
    55,857x = 2,340,666,077.83
  5. Step 5: Solve for x
    x = 2,340,666,077.83/55,857
  6. Step 6: Final answer
    x = 41,904.61

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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.