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Finding the Fourth Proportional to 124,378.34, 171,577.44 and 78,978.65

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Solution

The fourth proportional to 124,378.34, 171,577.44 and 78,978.65 is: 108,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,378.34 : 171,577.44 = 78,978.65 : x
  2. Step 2: Convert to fraction form
    124,378.34/171,577.44 = 78,978.65/x
  3. Step 3: Cross multiply
    124,378.34x = 171,577.44 × 78,978.65
  4. Step 4: Simplify right side
    124,378.34x = 13,550,953,723.77
  5. Step 5: Solve for x
    x = 13,550,953,723.77/124,378.34
  6. Step 6: Final answer
    x = 108,949.47

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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.