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Finding the Fourth Proportional to 111,364.81, 166,967.86 and 52,168.19

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Solution

The fourth proportional to 111,364.81, 166,967.86 and 52,168.19 is: 78,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,364.81 : 166,967.86 = 52,168.19 : x
  2. Step 2: Convert to fraction form
    111,364.81/166,967.86 = 52,168.19/x
  3. Step 3: Cross multiply
    111,364.81x = 166,967.86 × 52,168.19
  4. Step 4: Simplify right side
    111,364.81x = 8,710,411,044.37
  5. Step 5: Solve for x
    x = 8,710,411,044.37/111,364.81
  6. Step 6: Final answer
    x = 78,215.11

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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.