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Finding the Fourth Proportional to 142,510.78, 213,662.49 and 92,640.70

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Solution

The fourth proportional to 142,510.78, 213,662.49 and 92,640.70 is: 138,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,510.78 : 213,662.49 = 92,640.70 : x
  2. Step 2: Convert to fraction form
    142,510.78/213,662.49 = 92,640.70/x
  3. Step 3: Cross multiply
    142,510.78x = 213,662.49 × 92,640.70
  4. Step 4: Simplify right side
    142,510.78x = 19,793,842,637.34
  5. Step 5: Solve for x
    x = 19,793,842,637.34/142,510.78
  6. Step 6: Final answer
    x = 138,893.65

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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.