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Finding the Fourth Proportional to 103,648.50, 155,466.57 and 60,977.90

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Solution

The fourth proportional to 103,648.50, 155,466.57 and 60,977.90 is: 91,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,648.50 : 155,466.57 = 60,977.90 : x
  2. Step 2: Convert to fraction form
    103,648.50/155,466.57 = 60,977.90/x
  3. Step 3: Cross multiply
    103,648.50x = 155,466.57 × 60,977.90
  4. Step 4: Simplify right side
    103,648.50x = 9,480,025,576.14
  5. Step 5: Solve for x
    x = 9,480,025,576.14/103,648.50
  6. Step 6: Final answer
    x = 91,463.22

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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.