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Finding the Fourth Proportional to 111,526.16, 167,289.46 and 78,394.48

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Solution

The fourth proportional to 111,526.16, 167,289.46 and 78,394.48 is: 117,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,526.16 : 167,289.46 = 78,394.48 : x
  2. Step 2: Convert to fraction form
    111,526.16/167,289.46 = 78,394.48/x
  3. Step 3: Cross multiply
    111,526.16x = 167,289.46 × 78,394.48
  4. Step 4: Simplify right side
    111,526.16x = 13,114,570,226.18
  5. Step 5: Solve for x
    x = 13,114,570,226.18/111,526.16
  6. Step 6: Final answer
    x = 117,591.87

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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.