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Finding the Fourth Proportional to 135,391.83, 186,844.32 and 74,967.77

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Solution

The fourth proportional to 135,391.83, 186,844.32 and 74,967.77 is: 103,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,391.83 : 186,844.32 = 74,967.77 : x
  2. Step 2: Convert to fraction form
    135,391.83/186,844.32 = 74,967.77/x
  3. Step 3: Cross multiply
    135,391.83x = 186,844.32 × 74,967.77
  4. Step 4: Simplify right side
    135,391.83x = 14,007,301,073.34
  5. Step 5: Solve for x
    x = 14,007,301,073.34/135,391.83
  6. Step 6: Final answer
    x = 103,457.51

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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.