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Finding the Fourth Proportional to 89,783, 134,693.94 and 34,379

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Solution

The fourth proportional to 89,783, 134,693.94 and 34,379 is: 51,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,783 : 134,693.94 = 34,379 : x
  2. Step 2: Convert to fraction form
    89,783/134,693.94 = 34,379/x
  3. Step 3: Cross multiply
    89,783x = 134,693.94 × 34,379
  4. Step 4: Simplify right side
    89,783x = 4,630,642,963.26
  5. Step 5: Solve for x
    x = 4,630,642,963.26/89,783
  6. Step 6: Final answer
    x = 51,575.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.