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Finding the Fourth Proportional to 103,283.80, 142,537.10 and 57,959.44

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Solution

The fourth proportional to 103,283.80, 142,537.10 and 57,959.44 is: 79,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,283.80 : 142,537.10 = 57,959.44 : x
  2. Step 2: Convert to fraction form
    103,283.80/142,537.10 = 57,959.44/x
  3. Step 3: Cross multiply
    103,283.80x = 142,537.10 × 57,959.44
  4. Step 4: Simplify right side
    103,283.80x = 8,261,369,849.08
  5. Step 5: Solve for x
    x = 8,261,369,849.08/103,283.80
  6. Step 6: Final answer
    x = 79,987.08

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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.