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Finding the Fourth Proportional to 78,512, 108,347.64 and 44,978

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Solution

The fourth proportional to 78,512, 108,347.64 and 44,978 is: 62,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,512 : 108,347.64 = 44,978 : x
  2. Step 2: Convert to fraction form
    78,512/108,347.64 = 44,978/x
  3. Step 3: Cross multiply
    78,512x = 108,347.64 × 44,978
  4. Step 4: Simplify right side
    78,512x = 4,873,260,151.92
  5. Step 5: Solve for x
    x = 4,873,260,151.92/78,512
  6. Step 6: Final answer
    x = 62,070.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.