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Finding the Fourth Proportional to 115,459.20, 173,188.80 and 102,628.80

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Solution

The fourth proportional to 115,459.20, 173,188.80 and 102,628.80 is: 153,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,459.20 : 173,188.80 = 102,628.80 : x
  2. Step 2: Convert to fraction form
    115,459.20/173,188.80 = 102,628.80/x
  3. Step 3: Cross multiply
    115,459.20x = 173,188.80 × 102,628.80
  4. Step 4: Simplify right side
    115,459.20x = 17,774,158,717.44
  5. Step 5: Solve for x
    x = 17,774,158,717.44/115,459.20
  6. Step 6: Final answer
    x = 153,943.20

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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.