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Finding the Fourth Proportional to 142,782.90, 213,949.03 and 52,701.62

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Solution

The fourth proportional to 142,782.90, 213,949.03 and 52,701.62 is: 78,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,782.90 : 213,949.03 = 52,701.62 : x
  2. Step 2: Convert to fraction form
    142,782.90/213,949.03 = 52,701.62/x
  3. Step 3: Cross multiply
    142,782.90x = 213,949.03 × 52,701.62
  4. Step 4: Simplify right side
    142,782.90x = 11,275,461,013.30
  5. Step 5: Solve for x
    x = 11,275,461,013.30/142,782.90
  6. Step 6: Final answer
    x = 78,969.27

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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.