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Finding the Fourth Proportional to 211,208.82, 316,938.06 and 78,182.52

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Solution

The fourth proportional to 211,208.82, 316,938.06 and 78,182.52 is: 117,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,208.82 : 316,938.06 = 78,182.52 : x
  2. Step 2: Convert to fraction form
    211,208.82/316,938.06 = 78,182.52/x
  3. Step 3: Cross multiply
    211,208.82x = 316,938.06 × 78,182.52
  4. Step 4: Simplify right side
    211,208.82x = 24,779,016,214.71
  5. Step 5: Solve for x
    x = 24,779,016,214.71/211,208.82
  6. Step 6: Final answer
    x = 117,319.99

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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.