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Finding the Fourth Proportional to 81,256.52, 121,894.86 and 28,655.48

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Solution

The fourth proportional to 81,256.52, 121,894.86 and 28,655.48 is: 42,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,256.52 : 121,894.86 = 28,655.48 : x
  2. Step 2: Convert to fraction form
    81,256.52/121,894.86 = 28,655.48/x
  3. Step 3: Cross multiply
    81,256.52x = 121,894.86 × 28,655.48
  4. Step 4: Simplify right side
    81,256.52x = 3,492,955,722.83
  5. Step 5: Solve for x
    x = 3,492,955,722.83/81,256.52
  6. Step 6: Final answer
    x = 42,986.77

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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.