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Finding the Fourth Proportional to 105,984.89, 159,000.69 and 58,669

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Solution

The fourth proportional to 105,984.89, 159,000.69 and 58,669 is: 88,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,984.89 : 159,000.69 = 58,669 : x
  2. Step 2: Convert to fraction form
    105,984.89/159,000.69 = 58,669/x
  3. Step 3: Cross multiply
    105,984.89x = 159,000.69 × 58,669
  4. Step 4: Simplify right side
    105,984.89x = 9,328,411,481.61
  5. Step 5: Solve for x
    x = 9,328,411,481.61/105,984.89
  6. Step 6: Final answer
    x = 88,016.43

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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.