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Finding the Fourth Proportional to 57,015.37, 78,687.84 and 47,438.32

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Solution

The fourth proportional to 57,015.37, 78,687.84 and 47,438.32 is: 65,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,015.37 : 78,687.84 = 47,438.32 : x
  2. Step 2: Convert to fraction form
    57,015.37/78,687.84 = 47,438.32/x
  3. Step 3: Cross multiply
    57,015.37x = 78,687.84 × 47,438.32
  4. Step 4: Simplify right side
    57,015.37x = 3,732,818,934.03
  5. Step 5: Solve for x
    x = 3,732,818,934.03/57,015.37
  6. Step 6: Final answer
    x = 65,470.40

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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.