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Finding the Fourth Proportional to 90,530, 124,931.40 and 50,786

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Solution

The fourth proportional to 90,530, 124,931.40 and 50,786 is: 70,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,530 : 124,931.40 = 50,786 : x
  2. Step 2: Convert to fraction form
    90,530/124,931.40 = 50,786/x
  3. Step 3: Cross multiply
    90,530x = 124,931.40 × 50,786
  4. Step 4: Simplify right side
    90,530x = 6,344,766,080.40
  5. Step 5: Solve for x
    x = 6,344,766,080.40/90,530
  6. Step 6: Final answer
    x = 70,084.68

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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.