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Finding the Fourth Proportional to 102,058.74, 140,909.79 and 91,270.14

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Solution

The fourth proportional to 102,058.74, 140,909.79 and 91,270.14 is: 126,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,058.74 : 140,909.79 = 91,270.14 : x
  2. Step 2: Convert to fraction form
    102,058.74/140,909.79 = 91,270.14/x
  3. Step 3: Cross multiply
    102,058.74x = 140,909.79 × 91,270.14
  4. Step 4: Simplify right side
    102,058.74x = 12,860,856,260.67
  5. Step 5: Solve for x
    x = 12,860,856,260.67/102,058.74
  6. Step 6: Final answer
    x = 126,014.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.