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Finding the Fourth Proportional to 81,929.80, 122,894.70 and 81,411.40

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Solution

The fourth proportional to 81,929.80, 122,894.70 and 81,411.40 is: 122,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,929.80 : 122,894.70 = 81,411.40 : x
  2. Step 2: Convert to fraction form
    81,929.80/122,894.70 = 81,411.40/x
  3. Step 3: Cross multiply
    81,929.80x = 122,894.70 × 81,411.40
  4. Step 4: Simplify right side
    81,929.80x = 10,005,029,579.58
  5. Step 5: Solve for x
    x = 10,005,029,579.58/81,929.80
  6. Step 6: Final answer
    x = 122,117.10

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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.