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Finding the Fourth Proportional to 61,021.41, 84,205.47 and 34,159.38

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Solution

The fourth proportional to 61,021.41, 84,205.47 and 34,159.38 is: 47,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,021.41 : 84,205.47 = 34,159.38 : x
  2. Step 2: Convert to fraction form
    61,021.41/84,205.47 = 34,159.38/x
  3. Step 3: Cross multiply
    61,021.41x = 84,205.47 × 34,159.38
  4. Step 4: Simplify right side
    61,021.41x = 2,876,406,647.81
  5. Step 5: Solve for x
    x = 2,876,406,647.81/61,021.41
  6. Step 6: Final answer
    x = 47,137.66

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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.