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Finding the Fourth Proportional to 102,530.80, 153,796.20 and 74,537.20

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Solution

The fourth proportional to 102,530.80, 153,796.20 and 74,537.20 is: 111,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,530.80 : 153,796.20 = 74,537.20 : x
  2. Step 2: Convert to fraction form
    102,530.80/153,796.20 = 74,537.20/x
  3. Step 3: Cross multiply
    102,530.80x = 153,796.20 × 74,537.20
  4. Step 4: Simplify right side
    102,530.80x = 11,463,538,118.64
  5. Step 5: Solve for x
    x = 11,463,538,118.64/102,530.80
  6. Step 6: Final answer
    x = 111,805.80

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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.