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Finding the Fourth Proportional to 115,720.65, 173,654.69 and 77,338.80

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Solution

The fourth proportional to 115,720.65, 173,654.69 and 77,338.80 is: 116,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,720.65 : 173,654.69 = 77,338.80 : x
  2. Step 2: Convert to fraction form
    115,720.65/173,654.69 = 77,338.80/x
  3. Step 3: Cross multiply
    115,720.65x = 173,654.69 × 77,338.80
  4. Step 4: Simplify right side
    115,720.65x = 13,430,244,952.28
  5. Step 5: Solve for x
    x = 13,430,244,952.28/115,720.65
  6. Step 6: Final answer
    x = 116,057.46

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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.