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Finding the Fourth Proportional to 211,106.76, 316,686.24 and 68,966.34

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Solution

The fourth proportional to 211,106.76, 316,686.24 and 68,966.34 is: 103,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,106.76 : 316,686.24 = 68,966.34 : x
  2. Step 2: Convert to fraction form
    211,106.76/316,686.24 = 68,966.34/x
  3. Step 3: Cross multiply
    211,106.76x = 316,686.24 × 68,966.34
  4. Step 4: Simplify right side
    211,106.76x = 21,840,690,901.16
  5. Step 5: Solve for x
    x = 21,840,690,901.16/211,106.76
  6. Step 6: Final answer
    x = 103,458.04

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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.