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Finding the Fourth Proportional to 211,248, 316,900.08 and 98,912.88

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Solution

The fourth proportional to 211,248, 316,900.08 and 98,912.88 is: 148,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,248 : 316,900.08 = 98,912.88 : x
  2. Step 2: Convert to fraction form
    211,248/316,900.08 = 98,912.88/x
  3. Step 3: Cross multiply
    211,248x = 316,900.08 × 98,912.88
  4. Step 4: Simplify right side
    211,248x = 31,345,499,585.03
  5. Step 5: Solve for x
    x = 31,345,499,585.03/211,248
  6. Step 6: Final answer
    x = 148,382.47

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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.