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Finding the Fourth Proportional to 102,509.63, 153,775.37 and 43,351.28

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Solution

The fourth proportional to 102,509.63, 153,775.37 and 43,351.28 is: 65,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,509.63 : 153,775.37 = 43,351.28 : x
  2. Step 2: Convert to fraction form
    102,509.63/153,775.37 = 43,351.28/x
  3. Step 3: Cross multiply
    102,509.63x = 153,775.37 × 43,351.28
  4. Step 4: Simplify right side
    102,509.63x = 6,666,359,121.97
  5. Step 5: Solve for x
    x = 6,666,359,121.97/102,509.63
  6. Step 6: Final answer
    x = 65,031.54

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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.