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Finding the Fourth Proportional to 102,062.25, 140,850.71 and 56,740.98

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Solution

The fourth proportional to 102,062.25, 140,850.71 and 56,740.98 is: 78,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,062.25 : 140,850.71 = 56,740.98 : x
  2. Step 2: Convert to fraction form
    102,062.25/140,850.71 = 56,740.98/x
  3. Step 3: Cross multiply
    102,062.25x = 140,850.71 × 56,740.98
  4. Step 4: Simplify right side
    102,062.25x = 7,992,007,035.39
  5. Step 5: Solve for x
    x = 7,992,007,035.39/102,062.25
  6. Step 6: Final answer
    x = 78,305.22

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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.