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Finding the Fourth Proportional to 54,657.68, 81,931.83 and 47,130.75

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Solution

The fourth proportional to 54,657.68, 81,931.83 and 47,130.75 is: 70,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657.68 : 81,931.83 = 47,130.75 : x
  2. Step 2: Convert to fraction form
    54,657.68/81,931.83 = 47,130.75/x
  3. Step 3: Cross multiply
    54,657.68x = 81,931.83 × 47,130.75
  4. Step 4: Simplify right side
    54,657.68x = 3,861,508,596.77
  5. Step 5: Solve for x
    x = 3,861,508,596.77/54,657.68
  6. Step 6: Final answer
    x = 70,648.97

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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.