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Finding the Fourth Proportional to 102,113.34, 153,219.15 and 76,976.48

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Solution

The fourth proportional to 102,113.34, 153,219.15 and 76,976.48 is: 115,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,113.34 : 153,219.15 = 76,976.48 : x
  2. Step 2: Convert to fraction form
    102,113.34/153,219.15 = 76,976.48/x
  3. Step 3: Cross multiply
    102,113.34x = 153,219.15 × 76,976.48
  4. Step 4: Simplify right side
    102,113.34x = 11,794,270,069.50
  5. Step 5: Solve for x
    x = 11,794,270,069.50/102,113.34
  6. Step 6: Final answer
    x = 115,501.76

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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.