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Finding the Fourth Proportional to 55,858.32, 77,085 and 30,708

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Solution

The fourth proportional to 55,858.32, 77,085 and 30,708 is: 42,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,858.32 : 77,085 = 30,708 : x
  2. Step 2: Convert to fraction form
    55,858.32/77,085 = 30,708/x
  3. Step 3: Cross multiply
    55,858.32x = 77,085 × 30,708
  4. Step 4: Simplify right side
    55,858.32x = 2,367,126,180
  5. Step 5: Solve for x
    x = 2,367,126,180/55,858.32
  6. Step 6: Final answer
    x = 42,377.32

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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.