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Finding the Fourth Proportional to 106,998.57, 147,811.77 and 85,460.04

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Solution

The fourth proportional to 106,998.57, 147,811.77 and 85,460.04 is: 118,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,998.57 : 147,811.77 = 85,460.04 : x
  2. Step 2: Convert to fraction form
    106,998.57/147,811.77 = 85,460.04/x
  3. Step 3: Cross multiply
    106,998.57x = 147,811.77 × 85,460.04
  4. Step 4: Simplify right side
    106,998.57x = 12,631,999,776.67
  5. Step 5: Solve for x
    x = 12,631,999,776.67/106,998.57
  6. Step 6: Final answer
    x = 118,057.65

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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.