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Finding the Fourth Proportional to 211,147.56, 316,415.16 and 116,397

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Solution

The fourth proportional to 211,147.56, 316,415.16 and 116,397 is: 174,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,147.56 : 316,415.16 = 116,397 : x
  2. Step 2: Convert to fraction form
    211,147.56/316,415.16 = 116,397/x
  3. Step 3: Cross multiply
    211,147.56x = 316,415.16 × 116,397
  4. Step 4: Simplify right side
    211,147.56x = 36,829,775,378.52
  5. Step 5: Solve for x
    x = 36,829,775,378.52/211,147.56
  6. Step 6: Final answer
    x = 174,426.72

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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.