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Finding the Fourth Proportional to 212,122.94, 292,687.61 and 118,991.61

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Solution

The fourth proportional to 212,122.94, 292,687.61 and 118,991.61 is: 164,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,122.94 : 292,687.61 = 118,991.61 : x
  2. Step 2: Convert to fraction form
    212,122.94/292,687.61 = 118,991.61/x
  3. Step 3: Cross multiply
    212,122.94x = 292,687.61 × 118,991.61
  4. Step 4: Simplify right side
    212,122.94x = 34,827,369,345.99
  5. Step 5: Solve for x
    x = 34,827,369,345.99/212,122.94
  6. Step 6: Final answer
    x = 164,184.84

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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.