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Finding the Fourth Proportional to 135,465.30, 187,032.54 and 84,498.48

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Solution

The fourth proportional to 135,465.30, 187,032.54 and 84,498.48 is: 116,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,465.30 : 187,032.54 = 84,498.48 : x
  2. Step 2: Convert to fraction form
    135,465.30/187,032.54 = 84,498.48/x
  3. Step 3: Cross multiply
    135,465.30x = 187,032.54 × 84,498.48
  4. Step 4: Simplify right side
    135,465.30x = 15,803,965,340.54
  5. Step 5: Solve for x
    x = 15,803,965,340.54/135,465.30
  6. Step 6: Final answer
    x = 116,664.31

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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.