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Finding the Fourth Proportional to 78,507.72, 117,668.16 and 36,328.86

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Solution

The fourth proportional to 78,507.72, 117,668.16 and 36,328.86 is: 54,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,507.72 : 117,668.16 = 36,328.86 : x
  2. Step 2: Convert to fraction form
    78,507.72/117,668.16 = 36,328.86/x
  3. Step 3: Cross multiply
    78,507.72x = 117,668.16 × 36,328.86
  4. Step 4: Simplify right side
    78,507.72x = 4,274,750,111.10
  5. Step 5: Solve for x
    x = 4,274,750,111.10/78,507.72
  6. Step 6: Final answer
    x = 54,450.06

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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.