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Finding the Fourth Proportional to 81,005.76, 121,512.32 and 24,841.76

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Solution

The fourth proportional to 81,005.76, 121,512.32 and 24,841.76 is: 37,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,005.76 : 121,512.32 = 24,841.76 : x
  2. Step 2: Convert to fraction form
    81,005.76/121,512.32 = 24,841.76/x
  3. Step 3: Cross multiply
    81,005.76x = 121,512.32 × 24,841.76
  4. Step 4: Simplify right side
    81,005.76x = 3,018,579,890.48
  5. Step 5: Solve for x
    x = 3,018,579,890.48/81,005.76
  6. Step 6: Final answer
    x = 37,263.77

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1.5x scale

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.