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Finding the Fourth Proportional to 196,894.80, 271,712.40 and 112,011.68

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Solution

The fourth proportional to 196,894.80, 271,712.40 and 112,011.68 is: 154,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,894.80 : 271,712.40 = 112,011.68 : x
  2. Step 2: Convert to fraction form
    196,894.80/271,712.40 = 112,011.68/x
  3. Step 3: Cross multiply
    196,894.80x = 271,712.40 × 112,011.68
  4. Step 4: Simplify right side
    196,894.80x = 30,434,962,400.83
  5. Step 5: Solve for x
    x = 30,434,962,400.83/196,894.80
  6. Step 6: Final answer
    x = 154,574.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.