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Finding the Fourth Proportional to 212,855.71, 293,742.89 and 117,365.80

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Solution

The fourth proportional to 212,855.71, 293,742.89 and 117,365.80 is: 161,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,855.71 : 293,742.89 = 117,365.80 : x
  2. Step 2: Convert to fraction form
    212,855.71/293,742.89 = 117,365.80/x
  3. Step 3: Cross multiply
    212,855.71x = 293,742.89 × 117,365.80
  4. Step 4: Simplify right side
    212,855.71x = 34,475,369,279.16
  5. Step 5: Solve for x
    x = 34,475,369,279.16/212,855.71
  6. Step 6: Final answer
    x = 161,965.91

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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.