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Finding the Fourth Proportional to 115,302.60, 172,971.90 and 36,409.32

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Solution

The fourth proportional to 115,302.60, 172,971.90 and 36,409.32 is: 54,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,302.60 : 172,971.90 = 36,409.32 : x
  2. Step 2: Convert to fraction form
    115,302.60/172,971.90 = 36,409.32/x
  3. Step 3: Cross multiply
    115,302.60x = 172,971.90 × 36,409.32
  4. Step 4: Simplify right side
    115,302.60x = 6,297,789,258.11
  5. Step 5: Solve for x
    x = 6,297,789,258.11/115,302.60
  6. Step 6: Final answer
    x = 54,619.66

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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.