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Finding the Fourth Proportional to 61,742.82, 85,196.94 and 39,041.76

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Solution

The fourth proportional to 61,742.82, 85,196.94 and 39,041.76 is: 53,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,742.82 : 85,196.94 = 39,041.76 : x
  2. Step 2: Convert to fraction form
    61,742.82/85,196.94 = 39,041.76/x
  3. Step 3: Cross multiply
    61,742.82x = 85,196.94 × 39,041.76
  4. Step 4: Simplify right side
    61,742.82x = 3,326,237,863.02
  5. Step 5: Solve for x
    x = 3,326,237,863.02/61,742.82
  6. Step 6: Final answer
    x = 53,872.47

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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.