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Finding the Fourth Proportional to 61,047.68, 91,581.86 and 21,055.81

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Solution

The fourth proportional to 61,047.68, 91,581.86 and 21,055.81 is: 31,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,047.68 : 91,581.86 = 21,055.81 : x
  2. Step 2: Convert to fraction form
    61,047.68/91,581.86 = 21,055.81/x
  3. Step 3: Cross multiply
    61,047.68x = 91,581.86 × 21,055.81
  4. Step 4: Simplify right side
    61,047.68x = 1,928,330,067.29
  5. Step 5: Solve for x
    x = 1,928,330,067.29/61,047.68
  6. Step 6: Final answer
    x = 31,587.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.