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Finding the Fourth Proportional to 102,670.20, 153,786.60 and 82,987.20

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Solution

The fourth proportional to 102,670.20, 153,786.60 and 82,987.20 is: 124,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,670.20 : 153,786.60 = 82,987.20 : x
  2. Step 2: Convert to fraction form
    102,670.20/153,786.60 = 82,987.20/x
  3. Step 3: Cross multiply
    102,670.20x = 153,786.60 × 82,987.20
  4. Step 4: Simplify right side
    102,670.20x = 12,762,319,331.52
  5. Step 5: Solve for x
    x = 12,762,319,331.52/102,670.20
  6. Step 6: Final answer
    x = 124,304.03

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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.