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Finding the Fourth Proportional to 71,055.16, 106,582.62 and 21,134.92

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Solution

The fourth proportional to 71,055.16, 106,582.62 and 21,134.92 is: 31,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,055.16 : 106,582.62 = 21,134.92 : x
  2. Step 2: Convert to fraction form
    71,055.16/106,582.62 = 21,134.92/x
  3. Step 3: Cross multiply
    71,055.16x = 106,582.62 × 21,134.92
  4. Step 4: Simplify right side
    71,055.16x = 2,252,615,147.09
  5. Step 5: Solve for x
    x = 2,252,615,147.09/71,055.16
  6. Step 6: Final answer
    x = 31,702.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.