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Finding the Fourth Proportional to 211,197.96, 316,741.32 and 78,116.34

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Solution

The fourth proportional to 211,197.96, 316,741.32 and 78,116.34 is: 117,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,197.96 : 316,741.32 = 78,116.34 : x
  2. Step 2: Convert to fraction form
    211,197.96/316,741.32 = 78,116.34/x
  3. Step 3: Cross multiply
    211,197.96x = 316,741.32 × 78,116.34
  4. Step 4: Simplify right side
    211,197.96x = 24,742,672,645.17
  5. Step 5: Solve for x
    x = 24,742,672,645.17/211,197.96
  6. Step 6: Final answer
    x = 117,153.94

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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.