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Finding the Fourth Proportional to 145,682.76, 201,028.32 and 107,463

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Solution

The fourth proportional to 145,682.76, 201,028.32 and 107,463 is: 148,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,682.76 : 201,028.32 = 107,463 : x
  2. Step 2: Convert to fraction form
    145,682.76/201,028.32 = 107,463/x
  3. Step 3: Cross multiply
    145,682.76x = 201,028.32 × 107,463
  4. Step 4: Simplify right side
    145,682.76x = 21,603,106,352.16
  5. Step 5: Solve for x
    x = 21,603,106,352.16/145,682.76
  6. Step 6: Final answer
    x = 148,288.69

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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.