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Finding the Fourth Proportional to 71,840.98, 99,136.65 and 39,569.31

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Solution

The fourth proportional to 71,840.98, 99,136.65 and 39,569.31 is: 54,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840.98 : 99,136.65 = 39,569.31 : x
  2. Step 2: Convert to fraction form
    71,840.98/99,136.65 = 39,569.31/x
  3. Step 3: Cross multiply
    71,840.98x = 99,136.65 × 39,569.31
  4. Step 4: Simplify right side
    71,840.98x = 3,922,768,836.21
  5. Step 5: Solve for x
    x = 3,922,768,836.21/71,840.98
  6. Step 6: Final answer
    x = 54,603.50

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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.