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Finding the Fourth Proportional to 103,598.08, 142,978 and 58,277.97

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Solution

The fourth proportional to 103,598.08, 142,978 and 58,277.97 is: 80,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,598.08 : 142,978 = 58,277.97 : x
  2. Step 2: Convert to fraction form
    103,598.08/142,978 = 58,277.97/x
  3. Step 3: Cross multiply
    103,598.08x = 142,978 × 58,277.97
  4. Step 4: Simplify right side
    103,598.08x = 8,332,467,594.66
  5. Step 5: Solve for x
    x = 8,332,467,594.66/103,598.08
  6. Step 6: Final answer
    x = 80,430.71

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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.