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Finding the Fourth Proportional to 107,809.56, 147,699.64 and 103,769.24

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Solution

The fourth proportional to 107,809.56, 147,699.64 and 103,769.24 is: 142,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,809.56 : 147,699.64 = 103,769.24 : x
  2. Step 2: Convert to fraction form
    107,809.56/147,699.64 = 103,769.24/x
  3. Step 3: Cross multiply
    107,809.56x = 147,699.64 × 103,769.24
  4. Step 4: Simplify right side
    107,809.56x = 15,326,679,391.07
  5. Step 5: Solve for x
    x = 15,326,679,391.07/107,809.56
  6. Step 6: Final answer
    x = 142,164.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.