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Finding the Fourth Proportional to 142,138, 213,208.08 and 48,644.56

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Solution

The fourth proportional to 142,138, 213,208.08 and 48,644.56 is: 72,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,138 : 213,208.08 = 48,644.56 : x
  2. Step 2: Convert to fraction form
    142,138/213,208.08 = 48,644.56/x
  3. Step 3: Cross multiply
    142,138x = 213,208.08 × 48,644.56
  4. Step 4: Simplify right side
    142,138x = 10,371,413,240.04
  5. Step 5: Solve for x
    x = 10,371,413,240.04/142,138
  6. Step 6: Final answer
    x = 72,967.21

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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.