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Finding the Fourth Proportional to 157,405.80, 217,213.65 and 85,784.28

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Solution

The fourth proportional to 157,405.80, 217,213.65 and 85,784.28 is: 118,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,405.80 : 217,213.65 = 85,784.28 : x
  2. Step 2: Convert to fraction form
    157,405.80/217,213.65 = 85,784.28/x
  3. Step 3: Cross multiply
    157,405.80x = 217,213.65 × 85,784.28
  4. Step 4: Simplify right side
    157,405.80x = 18,633,516,571.42
  5. Step 5: Solve for x
    x = 18,633,516,571.42/157,405.80
  6. Step 6: Final answer
    x = 118,378.84

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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.