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Finding the Fourth Proportional to 103,978.20, 143,494.26 and 58,657.88

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Solution

The fourth proportional to 103,978.20, 143,494.26 and 58,657.88 is: 80,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,978.20 : 143,494.26 = 58,657.88 : x
  2. Step 2: Convert to fraction form
    103,978.20/143,494.26 = 58,657.88/x
  3. Step 3: Cross multiply
    103,978.20x = 143,494.26 × 58,657.88
  4. Step 4: Simplify right side
    103,978.20x = 8,417,069,083.77
  5. Step 5: Solve for x
    x = 8,417,069,083.77/103,978.20
  6. Step 6: Final answer
    x = 80,950.33

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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.