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Finding the Fourth Proportional to 142,644.90, 213,916.71 and 52,668.38

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Solution

The fourth proportional to 142,644.90, 213,916.71 and 52,668.38 is: 78,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,644.90 : 213,916.71 = 52,668.38 : x
  2. Step 2: Convert to fraction form
    142,644.90/213,916.71 = 52,668.38/x
  3. Step 3: Cross multiply
    142,644.90x = 213,916.71 × 52,668.38
  4. Step 4: Simplify right side
    142,644.90x = 11,266,646,570.63
  5. Step 5: Solve for x
    x = 11,266,646,570.63/142,644.90
  6. Step 6: Final answer
    x = 78,983.87

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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.