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Finding the Fourth Proportional to 142,044.93, 213,012.05 and 53,250

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Solution

The fourth proportional to 142,044.93, 213,012.05 and 53,250 is: 79,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,044.93 : 213,012.05 = 53,250 : x
  2. Step 2: Convert to fraction form
    142,044.93/213,012.05 = 53,250/x
  3. Step 3: Cross multiply
    142,044.93x = 213,012.05 × 53,250
  4. Step 4: Simplify right side
    142,044.93x = 11,342,891,396.25
  5. Step 5: Solve for x
    x = 11,342,891,396.25/142,044.93
  6. Step 6: Final answer
    x = 79,854.25

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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.