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Finding the Fourth Proportional to 116,464.65, 174,518.78 and 78,372.86

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Solution

The fourth proportional to 116,464.65, 174,518.78 and 78,372.86 is: 117,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,464.65 : 174,518.78 = 78,372.86 : x
  2. Step 2: Convert to fraction form
    116,464.65/174,518.78 = 78,372.86/x
  3. Step 3: Cross multiply
    116,464.65x = 174,518.78 × 78,372.86
  4. Step 4: Simplify right side
    116,464.65x = 13,677,535,309.12
  5. Step 5: Solve for x
    x = 13,677,535,309.12/116,464.65
  6. Step 6: Final answer
    x = 117,439.37

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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.