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Finding the Fourth Proportional to 135,117.55, 186,480.74 and 77,755.69

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Solution

The fourth proportional to 135,117.55, 186,480.74 and 77,755.69 is: 107,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,117.55 : 186,480.74 = 77,755.69 : x
  2. Step 2: Convert to fraction form
    135,117.55/186,480.74 = 77,755.69/x
  3. Step 3: Cross multiply
    135,117.55x = 186,480.74 × 77,755.69
  4. Step 4: Simplify right side
    135,117.55x = 14,499,938,610.41
  5. Step 5: Solve for x
    x = 14,499,938,610.41/135,117.55
  6. Step 6: Final answer
    x = 107,313.51

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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.