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Finding the Fourth Proportional to 212,309.53, 292,995.22 and 121,682.98

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Solution

The fourth proportional to 212,309.53, 292,995.22 and 121,682.98 is: 167,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,309.53 : 292,995.22 = 121,682.98 : x
  2. Step 2: Convert to fraction form
    212,309.53/292,995.22 = 121,682.98/x
  3. Step 3: Cross multiply
    212,309.53x = 292,995.22 × 121,682.98
  4. Step 4: Simplify right side
    212,309.53x = 35,652,532,267.36
  5. Step 5: Solve for x
    x = 35,652,532,267.36/212,309.53
  6. Step 6: Final answer
    x = 167,927.14

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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.