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Finding the Fourth Proportional to 55,890, 77,129.82 and 30,741.12

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Solution

The fourth proportional to 55,890, 77,129.82 and 30,741.12 is: 42,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,890 : 77,129.82 = 30,741.12 : x
  2. Step 2: Convert to fraction form
    55,890/77,129.82 = 30,741.12/x
  3. Step 3: Cross multiply
    55,890x = 77,129.82 × 30,741.12
  4. Step 4: Simplify right side
    55,890x = 2,371,057,052.20
  5. Step 5: Solve for x
    x = 2,371,057,052.20/55,890
  6. Step 6: Final answer
    x = 42,423.64

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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.