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Finding the Fourth Proportional to 211,071.29, 316,723.82 and 78,038.82

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Solution

The fourth proportional to 211,071.29, 316,723.82 and 78,038.82 is: 117,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,071.29 : 316,723.82 = 78,038.82 : x
  2. Step 2: Convert to fraction form
    211,071.29/316,723.82 = 78,038.82/x
  3. Step 3: Cross multiply
    211,071.29x = 316,723.82 × 78,038.82
  4. Step 4: Simplify right side
    211,071.29x = 24,716,752,788.50
  5. Step 5: Solve for x
    x = 24,716,752,788.50/211,071.29
  6. Step 6: Final answer
    x = 117,101.45

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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.