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Finding the Fourth Proportional to 115,904.70, 173,857.05 and 100,698.30

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Solution

The fourth proportional to 115,904.70, 173,857.05 and 100,698.30 is: 151,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,904.70 : 173,857.05 = 100,698.30 : x
  2. Step 2: Convert to fraction form
    115,904.70/173,857.05 = 100,698.30/x
  3. Step 3: Cross multiply
    115,904.70x = 173,857.05 × 100,698.30
  4. Step 4: Simplify right side
    115,904.70x = 17,507,109,378.02
  5. Step 5: Solve for x
    x = 17,507,109,378.02/115,904.70
  6. Step 6: Final answer
    x = 151,047.45

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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.