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Finding the Fourth Proportional to 100,605.25, 138,835.25 and 58,166.52

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Solution

The fourth proportional to 100,605.25, 138,835.25 and 58,166.52 is: 80,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,605.25 : 138,835.25 = 58,166.52 : x
  2. Step 2: Convert to fraction form
    100,605.25/138,835.25 = 58,166.52/x
  3. Step 3: Cross multiply
    100,605.25x = 138,835.25 × 58,166.52
  4. Step 4: Simplify right side
    100,605.25x = 8,075,563,345.83
  5. Step 5: Solve for x
    x = 8,075,563,345.83/100,605.25
  6. Step 6: Final answer
    x = 80,269.80

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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.