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Finding the Fourth Proportional to 103,856.49, 143,154.05 and 81,156.03

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Solution

The fourth proportional to 103,856.49, 143,154.05 and 81,156.03 is: 111,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,856.49 : 143,154.05 = 81,156.03 : x
  2. Step 2: Convert to fraction form
    103,856.49/143,154.05 = 81,156.03/x
  3. Step 3: Cross multiply
    103,856.49x = 143,154.05 × 81,156.03
  4. Step 4: Simplify right side
    103,856.49x = 11,617,813,970.64
  5. Step 5: Solve for x
    x = 11,617,813,970.64/103,856.49
  6. Step 6: Final answer
    x = 111,864.11

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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.