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Finding the Fourth Proportional to 74,287, 111,417.55 and 34,302.58

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Solution

The fourth proportional to 74,287, 111,417.55 and 34,302.58 is: 51,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,287 : 111,417.55 = 34,302.58 : x
  2. Step 2: Convert to fraction form
    74,287/111,417.55 = 34,302.58/x
  3. Step 3: Cross multiply
    74,287x = 111,417.55 × 34,302.58
  4. Step 4: Simplify right side
    74,287x = 3,821,909,422.28
  5. Step 5: Solve for x
    x = 3,821,909,422.28/74,287
  6. Step 6: Final answer
    x = 51,447.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.