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Finding the Fourth Proportional to 157,200.70, 235,652.82 and 78,240.28

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Solution

The fourth proportional to 157,200.70, 235,652.82 and 78,240.28 is: 117,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,200.70 : 235,652.82 = 78,240.28 : x
  2. Step 2: Convert to fraction form
    157,200.70/235,652.82 = 78,240.28/x
  3. Step 3: Cross multiply
    157,200.70x = 235,652.82 × 78,240.28
  4. Step 4: Simplify right side
    157,200.70x = 18,437,542,619.59
  5. Step 5: Solve for x
    x = 18,437,542,619.59/157,200.70
  6. Step 6: Final answer
    x = 117,286.64

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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.