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Finding the Fourth Proportional to 76,454, 105,506.58 and 42,930.80

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Solution

The fourth proportional to 76,454, 105,506.58 and 42,930.80 is: 59,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454 : 105,506.58 = 42,930.80 : x
  2. Step 2: Convert to fraction form
    76,454/105,506.58 = 42,930.80/x
  3. Step 3: Cross multiply
    76,454x = 105,506.58 × 42,930.80
  4. Step 4: Simplify right side
    76,454x = 4,529,481,884.66
  5. Step 5: Solve for x
    x = 4,529,481,884.66/76,454
  6. Step 6: Final answer
    x = 59,244.54

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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.