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Finding the Fourth Proportional to 77,213.52, 115,783.29 and 37,724.40

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Solution

The fourth proportional to 77,213.52, 115,783.29 and 37,724.40 is: 56,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,213.52 : 115,783.29 = 37,724.40 : x
  2. Step 2: Convert to fraction form
    77,213.52/115,783.29 = 37,724.40/x
  3. Step 3: Cross multiply
    77,213.52x = 115,783.29 × 37,724.40
  4. Step 4: Simplify right side
    77,213.52x = 4,367,855,145.28
  5. Step 5: Solve for x
    x = 4,367,855,145.28/77,213.52
  6. Step 6: Final answer
    x = 56,568.53

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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.