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Finding the Fourth Proportional to 115,287, 159,227.28 and 77,495.64

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Solution

The fourth proportional to 115,287, 159,227.28 and 77,495.64 is: 107,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,287 : 159,227.28 = 77,495.64 : x
  2. Step 2: Convert to fraction form
    115,287/159,227.28 = 77,495.64/x
  3. Step 3: Cross multiply
    115,287x = 159,227.28 × 77,495.64
  4. Step 4: Simplify right side
    115,287x = 12,339,419,969.06
  5. Step 5: Solve for x
    x = 12,339,419,969.06/115,287
  6. Step 6: Final answer
    x = 107,032.19

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1.5x scale

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.