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Finding the Fourth Proportional to 55,858, 77,084.58 and 30,708.04

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Solution

The fourth proportional to 55,858, 77,084.58 and 30,708.04 is: 42,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,858 : 77,084.58 = 30,708.04 : x
  2. Step 2: Convert to fraction form
    55,858/77,084.58 = 30,708.04/x
  3. Step 3: Cross multiply
    55,858x = 77,084.58 × 30,708.04
  4. Step 4: Simplify right side
    55,858x = 2,367,116,366.02
  5. Step 5: Solve for x
    x = 2,367,116,366.02/55,858
  6. Step 6: Final answer
    x = 42,377.39

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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.