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Finding the Fourth Proportional to 78,122, 107,814.12 and 48,319.76

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Solution

The fourth proportional to 78,122, 107,814.12 and 48,319.76 is: 66,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122 : 107,814.12 = 48,319.76 : x
  2. Step 2: Convert to fraction form
    78,122/107,814.12 = 48,319.76/x
  3. Step 3: Cross multiply
    78,122x = 107,814.12 × 48,319.76
  4. Step 4: Simplify right side
    78,122x = 5,209,552,403.01
  5. Step 5: Solve for x
    x = 5,209,552,403.01/78,122
  6. Step 6: Final answer
    x = 66,684.83

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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.