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Finding the Fourth Proportional to 55,648.50, 76,794.93 and 30,498

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Solution

The fourth proportional to 55,648.50, 76,794.93 and 30,498 is: 42,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648.50 : 76,794.93 = 30,498 : x
  2. Step 2: Convert to fraction form
    55,648.50/76,794.93 = 30,498/x
  3. Step 3: Cross multiply
    55,648.50x = 76,794.93 × 30,498
  4. Step 4: Simplify right side
    55,648.50x = 2,342,091,775.14
  5. Step 5: Solve for x
    x = 2,342,091,775.14/55,648.50
  6. Step 6: Final answer
    x = 42,087.24

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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.