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Finding the Fourth Proportional to 100,509.30, 138,767.73 and 62,309.67

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Solution

The fourth proportional to 100,509.30, 138,767.73 and 62,309.67 is: 86,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509.30 : 138,767.73 = 62,309.67 : x
  2. Step 2: Convert to fraction form
    100,509.30/138,767.73 = 62,309.67/x
  3. Step 3: Cross multiply
    100,509.30x = 138,767.73 × 62,309.67
  4. Step 4: Simplify right side
    100,509.30x = 8,646,571,462.95
  5. Step 5: Solve for x
    x = 8,646,571,462.95/100,509.30
  6. Step 6: Final answer
    x = 86,027.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.