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Finding the Fourth Proportional to 145,912.24, 201,359.01 and 78,844.24

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Solution

The fourth proportional to 145,912.24, 201,359.01 and 78,844.24 is: 108,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,912.24 : 201,359.01 = 78,844.24 : x
  2. Step 2: Convert to fraction form
    145,912.24/201,359.01 = 78,844.24/x
  3. Step 3: Cross multiply
    145,912.24x = 201,359.01 × 78,844.24
  4. Step 4: Simplify right side
    145,912.24x = 15,875,998,110.60
  5. Step 5: Solve for x
    x = 15,875,998,110.60/145,912.24
  6. Step 6: Final answer
    x = 108,805.12

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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.