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Finding the Fourth Proportional to 107,381.40, 148,325.88 and 81,732

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Solution

The fourth proportional to 107,381.40, 148,325.88 and 81,732 is: 112,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,381.40 : 148,325.88 = 81,732 : x
  2. Step 2: Convert to fraction form
    107,381.40/148,325.88 = 81,732/x
  3. Step 3: Cross multiply
    107,381.40x = 148,325.88 × 81,732
  4. Step 4: Simplify right side
    107,381.40x = 12,122,970,824.16
  5. Step 5: Solve for x
    x = 12,122,970,824.16/107,381.40
  6. Step 6: Final answer
    x = 112,896.38

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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.