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Finding the Fourth Proportional to 115,857.76, 159,900.80 and 73,420.16

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Solution

The fourth proportional to 115,857.76, 159,900.80 and 73,420.16 is: 101,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,857.76 : 159,900.80 = 73,420.16 : x
  2. Step 2: Convert to fraction form
    115,857.76/159,900.80 = 73,420.16/x
  3. Step 3: Cross multiply
    115,857.76x = 159,900.80 × 73,420.16
  4. Step 4: Simplify right side
    115,857.76x = 11,739,942,320.13
  5. Step 5: Solve for x
    x = 11,739,942,320.13/115,857.76
  6. Step 6: Final answer
    x = 101,330.65

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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.