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Finding the Fourth Proportional to 211,328.09, 316,958.42 and 78,178.07

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Solution

The fourth proportional to 211,328.09, 316,958.42 and 78,178.07 is: 117,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,328.09 : 316,958.42 = 78,178.07 : x
  2. Step 2: Convert to fraction form
    211,328.09/316,958.42 = 78,178.07/x
  3. Step 3: Cross multiply
    211,328.09x = 316,958.42 × 78,178.07
  4. Step 4: Simplify right side
    211,328.09x = 24,779,196,156.50
  5. Step 5: Solve for x
    x = 24,779,196,156.50/211,328.09
  6. Step 6: Final answer
    x = 117,254.62

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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.