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Finding the Fourth Proportional to 207,984.53, 287,018.44 and 112,491

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Solution

The fourth proportional to 207,984.53, 287,018.44 and 112,491 is: 155,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,984.53 : 287,018.44 = 112,491 : x
  2. Step 2: Convert to fraction form
    207,984.53/287,018.44 = 112,491/x
  3. Step 3: Cross multiply
    207,984.53x = 287,018.44 × 112,491
  4. Step 4: Simplify right side
    207,984.53x = 32,286,991,052.81
  5. Step 5: Solve for x
    x = 32,286,991,052.81/207,984.53
  6. Step 6: Final answer
    x = 155,237.46

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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.