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Finding the Fourth Proportional to 55,850, 77,073.12 and 30,699.68

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Solution

The fourth proportional to 55,850, 77,073.12 and 30,699.68 is: 42,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,850 : 77,073.12 = 30,699.68 : x
  2. Step 2: Convert to fraction form
    55,850/77,073.12 = 30,699.68/x
  3. Step 3: Cross multiply
    55,850x = 77,073.12 × 30,699.68
  4. Step 4: Simplify right side
    55,850x = 2,366,120,120.60
  5. Step 5: Solve for x
    x = 2,366,120,120.60/55,850
  6. Step 6: Final answer
    x = 42,365.62

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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.