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Finding the Fourth Proportional to 105,481, 145,563.78 and 58,377

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Solution

The fourth proportional to 105,481, 145,563.78 and 58,377 is: 80,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,481 : 145,563.78 = 58,377 : x
  2. Step 2: Convert to fraction form
    105,481/145,563.78 = 58,377/x
  3. Step 3: Cross multiply
    105,481x = 145,563.78 × 58,377
  4. Step 4: Simplify right side
    105,481x = 8,497,576,785.06
  5. Step 5: Solve for x
    x = 8,497,576,785.06/105,481
  6. Step 6: Final answer
    x = 80,560.26

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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.