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Finding the Fourth Proportional to 142,141.80, 212,931.90 and 92,256.60

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Solution

The fourth proportional to 142,141.80, 212,931.90 and 92,256.60 is: 138,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,141.80 : 212,931.90 = 92,256.60 : x
  2. Step 2: Convert to fraction form
    142,141.80/212,931.90 = 92,256.60/x
  3. Step 3: Cross multiply
    142,141.80x = 212,931.90 × 92,256.60
  4. Step 4: Simplify right side
    142,141.80x = 19,644,373,125.54
  5. Step 5: Solve for x
    x = 19,644,373,125.54/142,141.80
  6. Step 6: Final answer
    x = 138,202.65

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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.