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Finding the Fourth Proportional to 131,883.98, 181,989.11 and 77,430.41

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Solution

The fourth proportional to 131,883.98, 181,989.11 and 77,430.41 is: 106,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,883.98 : 181,989.11 = 77,430.41 : x
  2. Step 2: Convert to fraction form
    131,883.98/181,989.11 = 77,430.41/x
  3. Step 3: Cross multiply
    131,883.98x = 181,989.11 × 77,430.41
  4. Step 4: Simplify right side
    131,883.98x = 14,091,491,402.84
  5. Step 5: Solve for x
    x = 14,091,491,402.84/131,883.98
  6. Step 6: Final answer
    x = 106,847.64

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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.