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Finding the Fourth Proportional to 77,978.40, 107,608.68 and 45,720.96

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Solution

The fourth proportional to 77,978.40, 107,608.68 and 45,720.96 is: 63,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.40 : 107,608.68 = 45,720.96 : x
  2. Step 2: Convert to fraction form
    77,978.40/107,608.68 = 45,720.96/x
  3. Step 3: Cross multiply
    77,978.40x = 107,608.68 × 45,720.96
  4. Step 4: Simplify right side
    77,978.40x = 4,919,972,153.93
  5. Step 5: Solve for x
    x = 4,919,972,153.93/77,978.40
  6. Step 6: Final answer
    x = 63,094.04

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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.