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Finding the Fourth Proportional to 111,345, 166,599 and 78,129.87

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Solution

The fourth proportional to 111,345, 166,599 and 78,129.87 is: 116,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,345 : 166,599 = 78,129.87 : x
  2. Step 2: Convert to fraction form
    111,345/166,599 = 78,129.87/x
  3. Step 3: Cross multiply
    111,345x = 166,599 × 78,129.87
  4. Step 4: Simplify right side
    111,345x = 13,016,358,212.13
  5. Step 5: Solve for x
    x = 13,016,358,212.13/111,345
  6. Step 6: Final answer
    x = 116,901.15

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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.