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Finding the Fourth Proportional to 84,305.86, 126,455.86 and 21,126.54

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Solution

The fourth proportional to 84,305.86, 126,455.86 and 21,126.54 is: 31,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,305.86 : 126,455.86 = 21,126.54 : x
  2. Step 2: Convert to fraction form
    84,305.86/126,455.86 = 21,126.54/x
  3. Step 3: Cross multiply
    84,305.86x = 126,455.86 × 21,126.54
  4. Step 4: Simplify right side
    84,305.86x = 2,671,574,784.52
  5. Step 5: Solve for x
    x = 2,671,574,784.52/84,305.86
  6. Step 6: Final answer
    x = 31,689.08

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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.