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Finding the Fourth Proportional to 84,400, 116,461.92 and 46,669.12

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Solution

The fourth proportional to 84,400, 116,461.92 and 46,669.12 is: 64,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,400 : 116,461.92 = 46,669.12 : x
  2. Step 2: Convert to fraction form
    84,400/116,461.92 = 46,669.12/x
  3. Step 3: Cross multiply
    84,400x = 116,461.92 × 46,669.12
  4. Step 4: Simplify right side
    84,400x = 5,435,175,319.91
  5. Step 5: Solve for x
    x = 5,435,175,319.91/84,400
  6. Step 6: Final answer
    x = 64,397.81

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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.