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Finding the Fourth Proportional to 145,813.64, 201,222.83 and 78,745.64

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Solution

The fourth proportional to 145,813.64, 201,222.83 and 78,745.64 is: 108,668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,813.64 : 201,222.83 = 78,745.64 : x
  2. Step 2: Convert to fraction form
    145,813.64/201,222.83 = 78,745.64/x
  3. Step 3: Cross multiply
    145,813.64x = 201,222.83 × 78,745.64
  4. Step 4: Simplify right side
    145,813.64x = 15,845,419,721.71
  5. Step 5: Solve for x
    x = 15,845,419,721.71/145,813.64
  6. Step 6: Final answer
    x = 108,668.99

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1.5x scale

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.