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Finding the Fourth Proportional to 131,489, 197,135.04 and 42,689.48

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Solution

The fourth proportional to 131,489, 197,135.04 and 42,689.48 is: 64,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,489 : 197,135.04 = 42,689.48 : x
  2. Step 2: Convert to fraction form
    131,489/197,135.04 = 42,689.48/x
  3. Step 3: Cross multiply
    131,489x = 197,135.04 × 42,689.48
  4. Step 4: Simplify right side
    131,489x = 8,415,592,347.38
  5. Step 5: Solve for x
    x = 8,415,592,347.38/131,489
  6. Step 6: Final answer
    x = 64,002.25

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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.