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Finding the Fourth Proportional to 154,692, 213,110.64 and 145,391.76

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Solution

The fourth proportional to 154,692, 213,110.64 and 145,391.76 is: 200,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,692 : 213,110.64 = 145,391.76 : x
  2. Step 2: Convert to fraction form
    154,692/213,110.64 = 145,391.76/x
  3. Step 3: Cross multiply
    154,692x = 213,110.64 × 145,391.76
  4. Step 4: Simplify right side
    154,692x = 30,984,531,024.33
  5. Step 5: Solve for x
    x = 30,984,531,024.33/154,692
  6. Step 6: Final answer
    x = 200,298.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.