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Finding the Fourth Proportional to 157,231.80, 235,847.70 and 78,499.80

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Solution

The fourth proportional to 157,231.80, 235,847.70 and 78,499.80 is: 117,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,231.80 : 235,847.70 = 78,499.80 : x
  2. Step 2: Convert to fraction form
    157,231.80/235,847.70 = 78,499.80/x
  3. Step 3: Cross multiply
    157,231.80x = 235,847.70 × 78,499.80
  4. Step 4: Simplify right side
    157,231.80x = 18,513,997,280.46
  5. Step 5: Solve for x
    x = 18,513,997,280.46/157,231.80
  6. Step 6: Final answer
    x = 117,749.70

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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.