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Finding the Fourth Proportional to 190,281, 285,410.56 and 57,158.32

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Solution

The fourth proportional to 190,281, 285,410.56 and 57,158.32 is: 85,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,281 : 285,410.56 = 57,158.32 : x
  2. Step 2: Convert to fraction form
    190,281/285,410.56 = 57,158.32/x
  3. Step 3: Cross multiply
    190,281x = 285,410.56 × 57,158.32
  4. Step 4: Simplify right side
    190,281x = 16,313,588,119.86
  5. Step 5: Solve for x
    x = 16,313,588,119.86/190,281
  6. Step 6: Final answer
    x = 85,734.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.