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Finding the Fourth Proportional to 105,872.31, 146,101.95 and 58,125.31

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Solution

The fourth proportional to 105,872.31, 146,101.95 and 58,125.31 is: 80,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,872.31 : 146,101.95 = 58,125.31 : x
  2. Step 2: Convert to fraction form
    105,872.31/146,101.95 = 58,125.31/x
  3. Step 3: Cross multiply
    105,872.31x = 146,101.95 × 58,125.31
  4. Step 4: Simplify right side
    105,872.31x = 8,492,221,135.35
  5. Step 5: Solve for x
    x = 8,492,221,135.35/105,872.31
  6. Step 6: Final answer
    x = 80,211.92

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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.