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Finding the Fourth Proportional to 61,642.49, 85,065.78 and 34,418.99

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Solution

The fourth proportional to 61,642.49, 85,065.78 and 34,418.99 is: 47,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,642.49 : 85,065.78 = 34,418.99 : x
  2. Step 2: Convert to fraction form
    61,642.49/85,065.78 = 34,418.99/x
  3. Step 3: Cross multiply
    61,642.49x = 85,065.78 × 34,418.99
  4. Step 4: Simplify right side
    61,642.49x = 2,927,877,805.83
  5. Step 5: Solve for x
    x = 2,927,877,805.83/61,642.49
  6. Step 6: Final answer
    x = 47,497.73

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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.