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Finding the Fourth Proportional to 145,846.47, 218,769.56 and 57,037.57

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Solution

The fourth proportional to 145,846.47, 218,769.56 and 57,037.57 is: 85,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,846.47 : 218,769.56 = 57,037.57 : x
  2. Step 2: Convert to fraction form
    145,846.47/218,769.56 = 57,037.57/x
  3. Step 3: Cross multiply
    145,846.47x = 218,769.56 × 57,037.57
  4. Step 4: Simplify right side
    145,846.47x = 12,478,083,474.15
  5. Step 5: Solve for x
    x = 12,478,083,474.15/145,846.47
  6. Step 6: Final answer
    x = 85,556.29

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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.