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Finding the Fourth Proportional to 207,922.53, 286,932.89 and 112,429

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Solution

The fourth proportional to 207,922.53, 286,932.89 and 112,429 is: 155,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,922.53 : 286,932.89 = 112,429 : x
  2. Step 2: Convert to fraction form
    207,922.53/286,932.89 = 112,429/x
  3. Step 3: Cross multiply
    207,922.53x = 286,932.89 × 112,429
  4. Step 4: Simplify right side
    207,922.53x = 32,259,577,889.81
  5. Step 5: Solve for x
    x = 32,259,577,889.81/207,922.53
  6. Step 6: Final answer
    x = 155,151.91

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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.