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Finding the Fourth Proportional to 142,302.68, 213,454.01 and 53,576.09

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Solution

The fourth proportional to 142,302.68, 213,454.01 and 53,576.09 is: 80,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,302.68 : 213,454.01 = 53,576.09 : x
  2. Step 2: Convert to fraction form
    142,302.68/213,454.01 = 53,576.09/x
  3. Step 3: Cross multiply
    142,302.68x = 213,454.01 × 53,576.09
  4. Step 4: Simplify right side
    142,302.68x = 11,436,030,317.29
  5. Step 5: Solve for x
    x = 11,436,030,317.29/142,302.68
  6. Step 6: Final answer
    x = 80,364.13

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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.