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Finding the Fourth Proportional to 115,262.46, 172,809.69 and 77,729.28

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Solution

The fourth proportional to 115,262.46, 172,809.69 and 77,729.28 is: 116,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,262.46 : 172,809.69 = 77,729.28 : x
  2. Step 2: Convert to fraction form
    115,262.46/172,809.69 = 77,729.28/x
  3. Step 3: Cross multiply
    115,262.46x = 172,809.69 × 77,729.28
  4. Step 4: Simplify right side
    115,262.46x = 13,432,372,780.72
  5. Step 5: Solve for x
    x = 13,432,372,780.72/115,262.46
  6. Step 6: Final answer
    x = 116,537.27

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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.