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Finding the Fourth Proportional to 102,720.82, 153,818.17 and 71,087.08

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Solution

The fourth proportional to 102,720.82, 153,818.17 and 71,087.08 is: 106,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,720.82 : 153,818.17 = 71,087.08 : x
  2. Step 2: Convert to fraction form
    102,720.82/153,818.17 = 71,087.08/x
  3. Step 3: Cross multiply
    102,720.82x = 153,818.17 × 71,087.08
  4. Step 4: Simplify right side
    102,720.82x = 10,934,484,556.24
  5. Step 5: Solve for x
    x = 10,934,484,556.24/102,720.82
  6. Step 6: Final answer
    x = 106,448.57

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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.