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Finding the Fourth Proportional to 142,605.83, 213,851.30 and 53,810.97

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Solution

The fourth proportional to 142,605.83, 213,851.30 and 53,810.97 is: 80,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,605.83 : 213,851.30 = 53,810.97 : x
  2. Step 2: Convert to fraction form
    142,605.83/213,851.30 = 53,810.97/x
  3. Step 3: Cross multiply
    142,605.83x = 213,851.30 × 53,810.97
  4. Step 4: Simplify right side
    142,605.83x = 11,507,545,619.71
  5. Step 5: Solve for x
    x = 11,507,545,619.71/142,605.83
  6. Step 6: Final answer
    x = 80,694.78

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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.