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Finding the Fourth Proportional to 115,782.67, 159,788.67 and 64,800.51

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Solution

The fourth proportional to 115,782.67, 159,788.67 and 64,800.51 is: 89,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,782.67 : 159,788.67 = 64,800.51 : x
  2. Step 2: Convert to fraction form
    115,782.67/159,788.67 = 64,800.51/x
  3. Step 3: Cross multiply
    115,782.67x = 159,788.67 × 64,800.51
  4. Step 4: Simplify right side
    115,782.67x = 10,354,387,308.22
  5. Step 5: Solve for x
    x = 10,354,387,308.22/115,782.67
  6. Step 6: Final answer
    x = 89,429.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.