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Finding the Fourth Proportional to 115,357.56, 159,174.34 and 77,055.69

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Solution

The fourth proportional to 115,357.56, 159,174.34 and 77,055.69 is: 106,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,357.56 : 159,174.34 = 77,055.69 : x
  2. Step 2: Convert to fraction form
    115,357.56/159,174.34 = 77,055.69/x
  3. Step 3: Cross multiply
    115,357.56x = 159,174.34 × 77,055.69
  4. Step 4: Simplify right side
    115,357.56x = 12,265,288,598.99
  5. Step 5: Solve for x
    x = 12,265,288,598.99/115,357.56
  6. Step 6: Final answer
    x = 106,324.10

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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.