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Finding the Fourth Proportional to 115,283.12, 172,978.13 and 48,738.78

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Solution

The fourth proportional to 115,283.12, 172,978.13 and 48,738.78 is: 73,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,283.12 : 172,978.13 = 48,738.78 : x
  2. Step 2: Convert to fraction form
    115,283.12/172,978.13 = 48,738.78/x
  3. Step 3: Cross multiply
    115,283.12x = 172,978.13 × 48,738.78
  4. Step 4: Simplify right side
    115,283.12x = 8,430,743,144.73
  5. Step 5: Solve for x
    x = 8,430,743,144.73/115,283.12
  6. Step 6: Final answer
    x = 73,130.77

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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.