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Finding the Fourth Proportional to 231,698.64, 319,669.80 and 129,709.10

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Solution

The fourth proportional to 231,698.64, 319,669.80 and 129,709.10 is: 178,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,698.64 : 319,669.80 = 129,709.10 : x
  2. Step 2: Convert to fraction form
    231,698.64/319,669.80 = 129,709.10/x
  3. Step 3: Cross multiply
    231,698.64x = 319,669.80 × 129,709.10
  4. Step 4: Simplify right side
    231,698.64x = 41,464,082,055.18
  5. Step 5: Solve for x
    x = 41,464,082,055.18/231,698.64
  6. Step 6: Final answer
    x = 178,956.95

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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.