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Finding the Fourth Proportional to 212,818.59, 293,691.93 and 117,328.70

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Solution

The fourth proportional to 212,818.59, 293,691.93 and 117,328.70 is: 161,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,818.59 : 293,691.93 = 117,328.70 : x
  2. Step 2: Convert to fraction form
    212,818.59/293,691.93 = 117,328.70/x
  3. Step 3: Cross multiply
    212,818.59x = 293,691.93 × 117,328.70
  4. Step 4: Simplify right side
    212,818.59x = 34,458,492,641.64
  5. Step 5: Solve for x
    x = 34,458,492,641.64/212,818.59
  6. Step 6: Final answer
    x = 161,914.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.