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Finding the Fourth Proportional to 106,463.50, 159,363.08 and 78,415.22

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Solution

The fourth proportional to 106,463.50, 159,363.08 and 78,415.22 is: 117,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,463.50 : 159,363.08 = 78,415.22 : x
  2. Step 2: Convert to fraction form
    106,463.50/159,363.08 = 78,415.22/x
  3. Step 3: Cross multiply
    106,463.50x = 159,363.08 × 78,415.22
  4. Step 4: Simplify right side
    106,463.50x = 12,496,490,978.08
  5. Step 5: Solve for x
    x = 12,496,490,978.08/106,463.50
  6. Step 6: Final answer
    x = 117,378.17

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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.