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Finding the Fourth Proportional to 211,000.95, 316,451.75 and 61,201.71

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Solution

The fourth proportional to 211,000.95, 316,451.75 and 61,201.71 is: 91,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,000.95 : 316,451.75 = 61,201.71 : x
  2. Step 2: Convert to fraction form
    211,000.95/316,451.75 = 61,201.71/x
  3. Step 3: Cross multiply
    211,000.95x = 316,451.75 × 61,201.71
  4. Step 4: Simplify right side
    211,000.95x = 19,367,387,926.48
  5. Step 5: Solve for x
    x = 19,367,387,926.48/211,000.95
  6. Step 6: Final answer
    x = 91,788.16

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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.