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Finding the Fourth Proportional to 102,507.63, 153,772.37 and 43,349.28

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Solution

The fourth proportional to 102,507.63, 153,772.37 and 43,349.28 is: 65,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,507.63 : 153,772.37 = 43,349.28 : x
  2. Step 2: Convert to fraction form
    102,507.63/153,772.37 = 43,349.28/x
  3. Step 3: Cross multiply
    102,507.63x = 153,772.37 × 43,349.28
  4. Step 4: Simplify right side
    102,507.63x = 6,665,921,136.40
  5. Step 5: Solve for x
    x = 6,665,921,136.40/102,507.63
  6. Step 6: Final answer
    x = 65,028.54

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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.