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Finding the Fourth Proportional to 55,891.68, 77,128.96 and 30,741.20

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Solution

The fourth proportional to 55,891.68, 77,128.96 and 30,741.20 is: 42,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,891.68 : 77,128.96 = 30,741.20 : x
  2. Step 2: Convert to fraction form
    55,891.68/77,128.96 = 30,741.20/x
  3. Step 3: Cross multiply
    55,891.68x = 77,128.96 × 30,741.20
  4. Step 4: Simplify right side
    55,891.68x = 2,371,036,785.15
  5. Step 5: Solve for x
    x = 2,371,036,785.15/55,891.68
  6. Step 6: Final answer
    x = 42,422.00

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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.