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Finding the Fourth Proportional to 54,409.80, 81,614.70 and 31,038.60

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Solution

The fourth proportional to 54,409.80, 81,614.70 and 31,038.60 is: 46,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,409.80 : 81,614.70 = 31,038.60 : x
  2. Step 2: Convert to fraction form
    54,409.80/81,614.70 = 31,038.60/x
  3. Step 3: Cross multiply
    54,409.80x = 81,614.70 × 31,038.60
  4. Step 4: Simplify right side
    54,409.80x = 2,533,206,027.42
  5. Step 5: Solve for x
    x = 2,533,206,027.42/54,409.80
  6. Step 6: Final answer
    x = 46,557.90

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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.