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Finding the Fourth Proportional to 145,892.32, 201,331.36 and 78,824.32

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Solution

The fourth proportional to 145,892.32, 201,331.36 and 78,824.32 is: 108,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,892.32 : 201,331.36 = 78,824.32 : x
  2. Step 2: Convert to fraction form
    145,892.32/201,331.36 = 78,824.32/x
  3. Step 3: Cross multiply
    145,892.32x = 201,331.36 × 78,824.32
  4. Step 4: Simplify right side
    145,892.32x = 15,869,807,546.68
  5. Step 5: Solve for x
    x = 15,869,807,546.68/145,892.32
  6. Step 6: Final answer
    x = 108,777.54

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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.